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Finding the Fourth Proportional to 10,919.68, 15,069.16 and 5,951.68

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Solution

The fourth proportional to 10,919.68, 15,069.16 and 5,951.68 is: 8,213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,919.68 : 15,069.16 = 5,951.68 : x
  2. Step 2: Convert to fraction form
    10,919.68/15,069.16 = 5,951.68/x
  3. Step 3: Cross multiply
    10,919.68x = 15,069.16 × 5,951.68
  4. Step 4: Simplify right side
    10,919.68x = 89,686,818.19
  5. Step 5: Solve for x
    x = 89,686,818.19/10,919.68
  6. Step 6: Final answer
    x = 8,213.32

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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.