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Finding the Fourth Proportional to 9,614.66, 14,425.91 and 4,932.32

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Solution

The fourth proportional to 9,614.66, 14,425.91 and 4,932.32 is: 7,400.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.66 : 14,425.91 = 4,932.32 : x
  2. Step 2: Convert to fraction form
    9,614.66/14,425.91 = 4,932.32/x
  3. Step 3: Cross multiply
    9,614.66x = 14,425.91 × 4,932.32
  4. Step 4: Simplify right side
    9,614.66x = 71,153,179.75
  5. Step 5: Solve for x
    x = 71,153,179.75/9,614.66
  6. Step 6: Final answer
    x = 7,400.49

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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.