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Finding the Fourth Proportional to 7,537.70, 10,407.17 and 4,709.38

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Solution

The fourth proportional to 7,537.70, 10,407.17 and 4,709.38 is: 6,502.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.70 : 10,407.17 = 4,709.38 : x
  2. Step 2: Convert to fraction form
    7,537.70/10,407.17 = 4,709.38/x
  3. Step 3: Cross multiply
    7,537.70x = 10,407.17 × 4,709.38
  4. Step 4: Simplify right side
    7,537.70x = 49,011,304.01
  5. Step 5: Solve for x
    x = 49,011,304.01/7,537.70
  6. Step 6: Final answer
    x = 6,502.16

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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.