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Finding the Fourth Proportional to 8,494.47, 12,746.84 and 6,049.62

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Solution

The fourth proportional to 8,494.47, 12,746.84 and 6,049.62 is: 9,078.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.47 : 12,746.84 = 6,049.62 : x
  2. Step 2: Convert to fraction form
    8,494.47/12,746.84 = 6,049.62/x
  3. Step 3: Cross multiply
    8,494.47x = 12,746.84 × 6,049.62
  4. Step 4: Simplify right side
    8,494.47x = 77,113,507.95
  5. Step 5: Solve for x
    x = 77,113,507.95/8,494.47
  6. Step 6: Final answer
    x = 9,078.08

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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.