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Finding the Fourth Proportional to 7,757.71, 10,706.15 and 4,400.55

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Solution

The fourth proportional to 7,757.71, 10,706.15 and 4,400.55 is: 6,073.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.71 : 10,706.15 = 4,400.55 : x
  2. Step 2: Convert to fraction form
    7,757.71/10,706.15 = 4,400.55/x
  3. Step 3: Cross multiply
    7,757.71x = 10,706.15 × 4,400.55
  4. Step 4: Simplify right side
    7,757.71x = 47,112,959.38
  5. Step 5: Solve for x
    x = 47,112,959.38/7,757.71
  6. Step 6: Final answer
    x = 6,073.05

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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.