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Finding the Fourth Proportional to 10,039.80, 15,059.70 and 7,966.20

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Solution

The fourth proportional to 10,039.80, 15,059.70 and 7,966.20 is: 11,949.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.80 : 15,059.70 = 7,966.20 : x
  2. Step 2: Convert to fraction form
    10,039.80/15,059.70 = 7,966.20/x
  3. Step 3: Cross multiply
    10,039.80x = 15,059.70 × 7,966.20
  4. Step 4: Simplify right side
    10,039.80x = 119,968,582.14
  5. Step 5: Solve for x
    x = 119,968,582.14/10,039.80
  6. Step 6: Final answer
    x = 11,949.30

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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.