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Finding the Fourth Proportional to 5,006.71, 7,510.07 and 2,232.71

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Solution

The fourth proportional to 5,006.71, 7,510.07 and 2,232.71 is: 3,349.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.71 : 7,510.07 = 2,232.71 : x
  2. Step 2: Convert to fraction form
    5,006.71/7,510.07 = 2,232.71/x
  3. Step 3: Cross multiply
    5,006.71x = 7,510.07 × 2,232.71
  4. Step 4: Simplify right side
    5,006.71x = 16,767,834.27
  5. Step 5: Solve for x
    x = 16,767,834.27/5,006.71
  6. Step 6: Final answer
    x = 3,349.07

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.