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Finding the Fourth Proportional to 9,431.10, 13,015.89 and 6,444.63

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Solution

The fourth proportional to 9,431.10, 13,015.89 and 6,444.63 is: 8,894.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.10 : 13,015.89 = 6,444.63 : x
  2. Step 2: Convert to fraction form
    9,431.10/13,015.89 = 6,444.63/x
  3. Step 3: Cross multiply
    9,431.10x = 13,015.89 × 6,444.63
  4. Step 4: Simplify right side
    9,431.10x = 83,882,595.17
  5. Step 5: Solve for x
    x = 83,882,595.17/9,431.10
  6. Step 6: Final answer
    x = 8,894.25

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Half scale
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Double scale
Find fourth proportional to 9,432.10, 13,017.27 and 6,445.63
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.