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Finding the Fourth Proportional to 6,509.71, 9,724.99 and 4,150.92

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Solution

The fourth proportional to 6,509.71, 9,724.99 and 4,150.92 is: 6,201.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.71 : 9,724.99 = 4,150.92 : x
  2. Step 2: Convert to fraction form
    6,509.71/9,724.99 = 4,150.92/x
  3. Step 3: Cross multiply
    6,509.71x = 9,724.99 × 4,150.92
  4. Step 4: Simplify right side
    6,509.71x = 40,367,655.49
  5. Step 5: Solve for x
    x = 40,367,655.49/6,509.71
  6. Step 6: Final answer
    x = 6,201.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.