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Finding the Fourth Proportional to 12,377.64, 17,081.10 and 6,712.42

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Solution

The fourth proportional to 12,377.64, 17,081.10 and 6,712.42 is: 9,263.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.64 : 17,081.10 = 6,712.42 : x
  2. Step 2: Convert to fraction form
    12,377.64/17,081.10 = 6,712.42/x
  3. Step 3: Cross multiply
    12,377.64x = 17,081.10 × 6,712.42
  4. Step 4: Simplify right side
    12,377.64x = 114,655,517.26
  5. Step 5: Solve for x
    x = 114,655,517.26/12,377.64
  6. Step 6: Final answer
    x = 9,263.12

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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.