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Finding the Fourth Proportional to 10,697.70, 16,046.55 and 9,920.10

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Solution

The fourth proportional to 10,697.70, 16,046.55 and 9,920.10 is: 14,880.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.70 : 16,046.55 = 9,920.10 : x
  2. Step 2: Convert to fraction form
    10,697.70/16,046.55 = 9,920.10/x
  3. Step 3: Cross multiply
    10,697.70x = 16,046.55 × 9,920.10
  4. Step 4: Simplify right side
    10,697.70x = 159,183,380.66
  5. Step 5: Solve for x
    x = 159,183,380.66/10,697.70
  6. Step 6: Final answer
    x = 14,880.15

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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.