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Finding the Fourth Proportional to 10,752.40, 16,096.20 and 9,456.40

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Solution

The fourth proportional to 10,752.40, 16,096.20 and 9,456.40 is: 14,156.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,752.40 : 16,096.20 = 9,456.40 : x
  2. Step 2: Convert to fraction form
    10,752.40/16,096.20 = 9,456.40/x
  3. Step 3: Cross multiply
    10,752.40x = 16,096.20 × 9,456.40
  4. Step 4: Simplify right side
    10,752.40x = 152,212,105.68
  5. Step 5: Solve for x
    x = 152,212,105.68/10,752.40
  6. Step 6: Final answer
    x = 14,156.11

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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.