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Finding the Fourth Proportional to 10,077.80, 15,116.70 and 8,964.20

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Solution

The fourth proportional to 10,077.80, 15,116.70 and 8,964.20 is: 13,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.80 : 15,116.70 = 8,964.20 : x
  2. Step 2: Convert to fraction form
    10,077.80/15,116.70 = 8,964.20/x
  3. Step 3: Cross multiply
    10,077.80x = 15,116.70 × 8,964.20
  4. Step 4: Simplify right side
    10,077.80x = 135,509,122.14
  5. Step 5: Solve for x
    x = 135,509,122.14/10,077.80
  6. Step 6: Final answer
    x = 13,446.30

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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.