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Finding the Fourth Proportional to 7,127.87, 9,836.60 and 4,143.96

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Solution

The fourth proportional to 7,127.87, 9,836.60 and 4,143.96 is: 5,718.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.87 : 9,836.60 = 4,143.96 : x
  2. Step 2: Convert to fraction form
    7,127.87/9,836.60 = 4,143.96/x
  3. Step 3: Cross multiply
    7,127.87x = 9,836.60 × 4,143.96
  4. Step 4: Simplify right side
    7,127.87x = 40,762,456.22
  5. Step 5: Solve for x
    x = 40,762,456.22/7,127.87
  6. Step 6: Final answer
    x = 5,718.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.