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Finding the Fourth Proportional to 10,322.64, 15,471 and 6,165.72

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Solution

The fourth proportional to 10,322.64, 15,471 and 6,165.72 is: 9,240.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.64 : 15,471 = 6,165.72 : x
  2. Step 2: Convert to fraction form
    10,322.64/15,471 = 6,165.72/x
  3. Step 3: Cross multiply
    10,322.64x = 15,471 × 6,165.72
  4. Step 4: Simplify right side
    10,322.64x = 95,389,854.12
  5. Step 5: Solve for x
    x = 95,389,854.12/10,322.64
  6. Step 6: Final answer
    x = 9,240.84

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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.