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Finding the Fourth Proportional to 9,774.19, 14,661.31 and 6,865.48

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Solution

The fourth proportional to 9,774.19, 14,661.31 and 6,865.48 is: 10,298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.19 : 14,661.31 = 6,865.48 : x
  2. Step 2: Convert to fraction form
    9,774.19/14,661.31 = 6,865.48/x
  3. Step 3: Cross multiply
    9,774.19x = 14,661.31 × 6,865.48
  4. Step 4: Simplify right side
    9,774.19x = 100,656,930.58
  5. Step 5: Solve for x
    x = 100,656,930.58/9,774.19
  6. Step 6: Final answer
    x = 10,298.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.