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Finding the Fourth Proportional to 9,170.76, 12,654.99 and 5,192.31

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Solution

The fourth proportional to 9,170.76, 12,654.99 and 5,192.31 is: 7,165.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.76 : 12,654.99 = 5,192.31 : x
  2. Step 2: Convert to fraction form
    9,170.76/12,654.99 = 5,192.31/x
  3. Step 3: Cross multiply
    9,170.76x = 12,654.99 × 5,192.31
  4. Step 4: Simplify right side
    9,170.76x = 65,708,631.13
  5. Step 5: Solve for x
    x = 65,708,631.13/9,170.76
  6. Step 6: Final answer
    x = 7,165.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.