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Finding the Fourth Proportional to 10,985.20, 16,477.88 and 8,791.12

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Solution

The fourth proportional to 10,985.20, 16,477.88 and 8,791.12 is: 13,186.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,985.20 : 16,477.88 = 8,791.12 : x
  2. Step 2: Convert to fraction form
    10,985.20/16,477.88 = 8,791.12/x
  3. Step 3: Cross multiply
    10,985.20x = 16,477.88 × 8,791.12
  4. Step 4: Simplify right side
    10,985.20x = 144,859,020.43
  5. Step 5: Solve for x
    x = 144,859,020.43/10,985.20
  6. Step 6: Final answer
    x = 13,186.74

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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.