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Finding the Fourth Proportional to 11,234.70, 16,856.10 and 10,829.70

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Solution

The fourth proportional to 11,234.70, 16,856.10 and 10,829.70 is: 16,248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.70 : 16,856.10 = 10,829.70 : x
  2. Step 2: Convert to fraction form
    11,234.70/16,856.10 = 10,829.70/x
  3. Step 3: Cross multiply
    11,234.70x = 16,856.10 × 10,829.70
  4. Step 4: Simplify right side
    11,234.70x = 182,546,506.17
  5. Step 5: Solve for x
    x = 182,546,506.17/11,234.70
  6. Step 6: Final answer
    x = 16,248.45

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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.