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Finding the Fourth Proportional to 22,957.76, 34,432.10 and 6,313.50

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Solution

The fourth proportional to 22,957.76, 34,432.10 and 6,313.50 is: 9,469.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957.76 : 34,432.10 = 6,313.50 : x
  2. Step 2: Convert to fraction form
    22,957.76/34,432.10 = 6,313.50/x
  3. Step 3: Cross multiply
    22,957.76x = 34,432.10 × 6,313.50
  4. Step 4: Simplify right side
    22,957.76x = 217,387,063.35
  5. Step 5: Solve for x
    x = 217,387,063.35/22,957.76
  6. Step 6: Final answer
    x = 9,469.00

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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.