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Finding the Fourth Proportional to 10,281.70, 15,422.55 and 9,747.10

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Solution

The fourth proportional to 10,281.70, 15,422.55 and 9,747.10 is: 14,620.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.70 : 15,422.55 = 9,747.10 : x
  2. Step 2: Convert to fraction form
    10,281.70/15,422.55 = 9,747.10/x
  3. Step 3: Cross multiply
    10,281.70x = 15,422.55 × 9,747.10
  4. Step 4: Simplify right side
    10,281.70x = 150,325,137.11
  5. Step 5: Solve for x
    x = 150,325,137.11/10,281.70
  6. Step 6: Final answer
    x = 14,620.65

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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.