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Finding the Fourth Proportional to 10,765.80, 16,148.70 and 9,340.20

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Solution

The fourth proportional to 10,765.80, 16,148.70 and 9,340.20 is: 14,010.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.80 : 16,148.70 = 9,340.20 : x
  2. Step 2: Convert to fraction form
    10,765.80/16,148.70 = 9,340.20/x
  3. Step 3: Cross multiply
    10,765.80x = 16,148.70 × 9,340.20
  4. Step 4: Simplify right side
    10,765.80x = 150,832,087.74
  5. Step 5: Solve for x
    x = 150,832,087.74/10,765.80
  6. Step 6: Final answer
    x = 14,010.30

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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.