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Finding the Fourth Proportional to 22,954.71, 34,432.22 and 6,316.50

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Solution

The fourth proportional to 22,954.71, 34,432.22 and 6,316.50 is: 9,474.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,954.71 : 34,432.22 = 6,316.50 : x
  2. Step 2: Convert to fraction form
    22,954.71/34,432.22 = 6,316.50/x
  3. Step 3: Cross multiply
    22,954.71x = 34,432.22 × 6,316.50
  4. Step 4: Simplify right side
    22,954.71x = 217,491,117.63
  5. Step 5: Solve for x
    x = 217,491,117.63/22,954.71
  6. Step 6: Final answer
    x = 9,474.79

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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.