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Finding the Fourth Proportional to 23,134.71, 34,701.44 and 6,494.88

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Solution

The fourth proportional to 23,134.71, 34,701.44 and 6,494.88 is: 9,742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,134.71 : 34,701.44 = 6,494.88 : x
  2. Step 2: Convert to fraction form
    23,134.71/34,701.44 = 6,494.88/x
  3. Step 3: Cross multiply
    23,134.71x = 34,701.44 × 6,494.88
  4. Step 4: Simplify right side
    23,134.71x = 225,381,656.15
  5. Step 5: Solve for x
    x = 225,381,656.15/23,134.71
  6. Step 6: Final answer
    x = 9,742.14

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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.