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Finding the Fourth Proportional to 10,614.87, 15,904.86 and 6,456.08

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Solution

The fourth proportional to 10,614.87, 15,904.86 and 6,456.08 is: 9,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.87 : 15,904.86 = 6,456.08 : x
  2. Step 2: Convert to fraction form
    10,614.87/15,904.86 = 6,456.08/x
  3. Step 3: Cross multiply
    10,614.87x = 15,904.86 × 6,456.08
  4. Step 4: Simplify right side
    10,614.87x = 102,682,969.02
  5. Step 5: Solve for x
    x = 102,682,969.02/10,614.87
  6. Step 6: Final answer
    x = 9,673.50

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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.