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Finding the Fourth Proportional to 8,494.78, 12,742.19 and 2,948.13

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Solution

The fourth proportional to 8,494.78, 12,742.19 and 2,948.13 is: 4,422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.78 : 12,742.19 = 2,948.13 : x
  2. Step 2: Convert to fraction form
    8,494.78/12,742.19 = 2,948.13/x
  3. Step 3: Cross multiply
    8,494.78x = 12,742.19 × 2,948.13
  4. Step 4: Simplify right side
    8,494.78x = 37,565,632.60
  5. Step 5: Solve for x
    x = 37,565,632.60/8,494.78
  6. Step 6: Final answer
    x = 4,422.20

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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.