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Finding the Fourth Proportional to 5,006.09, 7,509.14 and 1,543.25

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Solution

The fourth proportional to 5,006.09, 7,509.14 and 1,543.25 is: 2,314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.09 : 7,509.14 = 1,543.25 : x
  2. Step 2: Convert to fraction form
    5,006.09/7,509.14 = 1,543.25/x
  3. Step 3: Cross multiply
    5,006.09x = 7,509.14 × 1,543.25
  4. Step 4: Simplify right side
    5,006.09x = 11,588,472.59
  5. Step 5: Solve for x
    x = 11,588,472.59/5,006.09
  6. Step 6: Final answer
    x = 2,314.88

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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.