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Finding the Fourth Proportional to 10,171.14, 15,246.98 and 6,461.88

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Solution

The fourth proportional to 10,171.14, 15,246.98 and 6,461.88 is: 9,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.14 : 15,246.98 = 6,461.88 : x
  2. Step 2: Convert to fraction form
    10,171.14/15,246.98 = 6,461.88/x
  3. Step 3: Cross multiply
    10,171.14x = 15,246.98 × 6,461.88
  4. Step 4: Simplify right side
    10,171.14x = 98,524,155.12
  5. Step 5: Solve for x
    x = 98,524,155.12/10,171.14
  6. Step 6: Final answer
    x = 9,686.64

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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.