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Finding the Fourth Proportional to 10,884.60, 16,343.10 and 7,612.20

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Solution

The fourth proportional to 10,884.60, 16,343.10 and 7,612.20 is: 11,429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.60 : 16,343.10 = 7,612.20 : x
  2. Step 2: Convert to fraction form
    10,884.60/16,343.10 = 7,612.20/x
  3. Step 3: Cross multiply
    10,884.60x = 16,343.10 × 7,612.20
  4. Step 4: Simplify right side
    10,884.60x = 124,406,945.82
  5. Step 5: Solve for x
    x = 124,406,945.82/10,884.60
  6. Step 6: Final answer
    x = 11,429.63

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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.