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Finding the Fourth Proportional to 7,472.53, 10,293.11 and 5,701.06

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Solution

The fourth proportional to 7,472.53, 10,293.11 and 5,701.06 is: 7,852.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.53 : 10,293.11 = 5,701.06 : x
  2. Step 2: Convert to fraction form
    7,472.53/10,293.11 = 5,701.06/x
  3. Step 3: Cross multiply
    7,472.53x = 10,293.11 × 5,701.06
  4. Step 4: Simplify right side
    7,472.53x = 58,681,609.19
  5. Step 5: Solve for x
    x = 58,681,609.19/7,472.53
  6. Step 6: Final answer
    x = 7,852.98

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Half scale
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Double scale
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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.