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Finding the Fourth Proportional to 12,884.50, 19,329.18 and 5,959

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Solution

The fourth proportional to 12,884.50, 19,329.18 and 5,959 is: 8,939.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.50 : 19,329.18 = 5,959 : x
  2. Step 2: Convert to fraction form
    12,884.50/19,329.18 = 5,959/x
  3. Step 3: Cross multiply
    12,884.50x = 19,329.18 × 5,959
  4. Step 4: Simplify right side
    12,884.50x = 115,182,583.62
  5. Step 5: Solve for x
    x = 115,182,583.62/12,884.50
  6. Step 6: Final answer
    x = 8,939.62

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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.