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Finding the Fourth Proportional to 10,252.26, 15,384.86 and 5,878.26

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Solution

The fourth proportional to 10,252.26, 15,384.86 and 5,878.26 is: 8,821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.26 : 15,384.86 = 5,878.26 : x
  2. Step 2: Convert to fraction form
    10,252.26/15,384.86 = 5,878.26/x
  3. Step 3: Cross multiply
    10,252.26x = 15,384.86 × 5,878.26
  4. Step 4: Simplify right side
    10,252.26x = 90,436,177.75
  5. Step 5: Solve for x
    x = 90,436,177.75/10,252.26
  6. Step 6: Final answer
    x = 8,821.10

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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.