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Finding the Fourth Proportional to 5,142.03, 7,713.01 and 1,246.47

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Solution

The fourth proportional to 5,142.03, 7,713.01 and 1,246.47 is: 1,869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.03 : 7,713.01 = 1,246.47 : x
  2. Step 2: Convert to fraction form
    5,142.03/7,713.01 = 1,246.47/x
  3. Step 3: Cross multiply
    5,142.03x = 7,713.01 × 1,246.47
  4. Step 4: Simplify right side
    5,142.03x = 9,614,035.57
  5. Step 5: Solve for x
    x = 9,614,035.57/5,142.03
  6. Step 6: Final answer
    x = 1,869.70

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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.