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Finding the Fourth Proportional to 12,267.61, 16,934.38 and 8,294.11

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Solution

The fourth proportional to 12,267.61, 16,934.38 and 8,294.11 is: 11,449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,267.61 : 16,934.38 = 8,294.11 : x
  2. Step 2: Convert to fraction form
    12,267.61/16,934.38 = 8,294.11/x
  3. Step 3: Cross multiply
    12,267.61x = 16,934.38 × 8,294.11
  4. Step 4: Simplify right side
    12,267.61x = 140,455,547.43
  5. Step 5: Solve for x
    x = 140,455,547.43/12,267.61
  6. Step 6: Final answer
    x = 11,449.30

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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.