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Finding the Fourth Proportional to 9,592.02, 14,366.16 and 9,431.64

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Solution

The fourth proportional to 9,592.02, 14,366.16 and 9,431.64 is: 14,125.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.02 : 14,366.16 = 9,431.64 : x
  2. Step 2: Convert to fraction form
    9,592.02/14,366.16 = 9,431.64/x
  3. Step 3: Cross multiply
    9,592.02x = 14,366.16 × 9,431.64
  4. Step 4: Simplify right side
    9,592.02x = 135,496,449.30
  5. Step 5: Solve for x
    x = 135,496,449.30/9,592.02
  6. Step 6: Final answer
    x = 14,125.96

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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.