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Finding the Fourth Proportional to 9,454.59, 14,157.10 and 6,666.16

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Solution

The fourth proportional to 9,454.59, 14,157.10 and 6,666.16 is: 9,981.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.59 : 14,157.10 = 6,666.16 : x
  2. Step 2: Convert to fraction form
    9,454.59/14,157.10 = 6,666.16/x
  3. Step 3: Cross multiply
    9,454.59x = 14,157.10 × 6,666.16
  4. Step 4: Simplify right side
    9,454.59x = 94,373,493.74
  5. Step 5: Solve for x
    x = 94,373,493.74/9,454.59
  6. Step 6: Final answer
    x = 9,981.76

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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.