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Finding the Fourth Proportional to 12,110.80, 16,713.12 and 7,331.20

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Solution

The fourth proportional to 12,110.80, 16,713.12 and 7,331.20 is: 10,117.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,110.80 : 16,713.12 = 7,331.20 : x
  2. Step 2: Convert to fraction form
    12,110.80/16,713.12 = 7,331.20/x
  3. Step 3: Cross multiply
    12,110.80x = 16,713.12 × 7,331.20
  4. Step 4: Simplify right side
    12,110.80x = 122,527,225.34
  5. Step 5: Solve for x
    x = 122,527,225.34/12,110.80
  6. Step 6: Final answer
    x = 10,117.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.