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Finding the Fourth Proportional to 10,882.68, 15,016.80 and 6,166.80

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Solution

The fourth proportional to 10,882.68, 15,016.80 and 6,166.80 is: 8,509.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.68 : 15,016.80 = 6,166.80 : x
  2. Step 2: Convert to fraction form
    10,882.68/15,016.80 = 6,166.80/x
  3. Step 3: Cross multiply
    10,882.68x = 15,016.80 × 6,166.80
  4. Step 4: Simplify right side
    10,882.68x = 92,605,602.24
  5. Step 5: Solve for x
    x = 92,605,602.24/10,882.68
  6. Step 6: Final answer
    x = 8,509.45

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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.