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Finding the Fourth Proportional to 9,261, 12,780.18 and 5,069.25

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Solution

The fourth proportional to 9,261, 12,780.18 and 5,069.25 is: 6,995.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261 : 12,780.18 = 5,069.25 : x
  2. Step 2: Convert to fraction form
    9,261/12,780.18 = 5,069.25/x
  3. Step 3: Cross multiply
    9,261x = 12,780.18 × 5,069.25
  4. Step 4: Simplify right side
    9,261x = 64,785,927.47
  5. Step 5: Solve for x
    x = 64,785,927.47/9,261
  6. Step 6: Final answer
    x = 6,995.57

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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.