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Finding the Fourth Proportional to 10,983.20, 16,442.40 and 10,342.40

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Solution

The fourth proportional to 10,983.20, 16,442.40 and 10,342.40 is: 15,483.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983.20 : 16,442.40 = 10,342.40 : x
  2. Step 2: Convert to fraction form
    10,983.20/16,442.40 = 10,342.40/x
  3. Step 3: Cross multiply
    10,983.20x = 16,442.40 × 10,342.40
  4. Step 4: Simplify right side
    10,983.20x = 170,053,877.76
  5. Step 5: Solve for x
    x = 170,053,877.76/10,983.20
  6. Step 6: Final answer
    x = 15,483.09

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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.