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Finding the Fourth Proportional to 9,662.16, 14,493.24 and 5,277.24

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Solution

The fourth proportional to 9,662.16, 14,493.24 and 5,277.24 is: 7,915.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.16 : 14,493.24 = 5,277.24 : x
  2. Step 2: Convert to fraction form
    9,662.16/14,493.24 = 5,277.24/x
  3. Step 3: Cross multiply
    9,662.16x = 14,493.24 × 5,277.24
  4. Step 4: Simplify right side
    9,662.16x = 76,484,305.86
  5. Step 5: Solve for x
    x = 76,484,305.86/9,662.16
  6. Step 6: Final answer
    x = 7,915.86

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Similar ratio
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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.