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Finding the Fourth Proportional to 7,537.71, 10,407.24 and 5,766.24

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Solution

The fourth proportional to 7,537.71, 10,407.24 and 5,766.24 is: 7,961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.71 : 10,407.24 = 5,766.24 : x
  2. Step 2: Convert to fraction form
    7,537.71/10,407.24 = 5,766.24/x
  3. Step 3: Cross multiply
    7,537.71x = 10,407.24 × 5,766.24
  4. Step 4: Simplify right side
    7,537.71x = 60,010,643.58
  5. Step 5: Solve for x
    x = 60,010,643.58/7,537.71
  6. Step 6: Final answer
    x = 7,961.39

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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.