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Finding the Fourth Proportional to 10,015.92, 15,023.88 and 7,042.14

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Solution

The fourth proportional to 10,015.92, 15,023.88 and 7,042.14 is: 10,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015.92 : 15,023.88 = 7,042.14 : x
  2. Step 2: Convert to fraction form
    10,015.92/15,023.88 = 7,042.14/x
  3. Step 3: Cross multiply
    10,015.92x = 15,023.88 × 7,042.14
  4. Step 4: Simplify right side
    10,015.92x = 105,800,266.30
  5. Step 5: Solve for x
    x = 105,800,266.30/10,015.92
  6. Step 6: Final answer
    x = 10,563.21

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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.