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Finding the Fourth Proportional to 4,002.59, 6,004.90 and 1,537.59

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Solution

The fourth proportional to 4,002.59, 6,004.90 and 1,537.59 is: 2,306.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.59 : 6,004.90 = 1,537.59 : x
  2. Step 2: Convert to fraction form
    4,002.59/6,004.90 = 1,537.59/x
  3. Step 3: Cross multiply
    4,002.59x = 6,004.90 × 1,537.59
  4. Step 4: Simplify right side
    4,002.59x = 9,233,044.17
  5. Step 5: Solve for x
    x = 9,233,044.17/4,002.59
  6. Step 6: Final answer
    x = 2,306.77

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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.