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Finding the Fourth Proportional to 10,467.40, 15,701.10 and 9,992.20

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Solution

The fourth proportional to 10,467.40, 15,701.10 and 9,992.20 is: 14,988.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.40 : 15,701.10 = 9,992.20 : x
  2. Step 2: Convert to fraction form
    10,467.40/15,701.10 = 9,992.20/x
  3. Step 3: Cross multiply
    10,467.40x = 15,701.10 × 9,992.20
  4. Step 4: Simplify right side
    10,467.40x = 156,888,531.42
  5. Step 5: Solve for x
    x = 156,888,531.42/10,467.40
  6. Step 6: Final answer
    x = 14,988.30

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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.