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Finding the Fourth Proportional to 10,882.12, 15,019.74 and 6,169

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Solution

The fourth proportional to 10,882.12, 15,019.74 and 6,169 is: 8,514.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.12 : 15,019.74 = 6,169 : x
  2. Step 2: Convert to fraction form
    10,882.12/15,019.74 = 6,169/x
  3. Step 3: Cross multiply
    10,882.12x = 15,019.74 × 6,169
  4. Step 4: Simplify right side
    10,882.12x = 92,656,776.06
  5. Step 5: Solve for x
    x = 92,656,776.06/10,882.12
  6. Step 6: Final answer
    x = 8,514.59

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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.