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Finding the Fourth Proportional to 5,000.38, 7,500.72 and 1,537.64

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Solution

The fourth proportional to 5,000.38, 7,500.72 and 1,537.64 is: 2,306.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.38 : 7,500.72 = 1,537.64 : x
  2. Step 2: Convert to fraction form
    5,000.38/7,500.72 = 1,537.64/x
  3. Step 3: Cross multiply
    5,000.38x = 7,500.72 × 1,537.64
  4. Step 4: Simplify right side
    5,000.38x = 11,533,407.10
  5. Step 5: Solve for x
    x = 11,533,407.10/5,000.38
  6. Step 6: Final answer
    x = 2,306.51

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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.