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Finding the Fourth Proportional to 15,098.17, 20,835.72 and 8,384.23

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Solution

The fourth proportional to 15,098.17, 20,835.72 and 8,384.23 is: 11,570.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,098.17 : 20,835.72 = 8,384.23 : x
  2. Step 2: Convert to fraction form
    15,098.17/20,835.72 = 8,384.23/x
  3. Step 3: Cross multiply
    15,098.17x = 20,835.72 × 8,384.23
  4. Step 4: Simplify right side
    15,098.17x = 174,691,468.70
  5. Step 5: Solve for x
    x = 174,691,468.70/15,098.17
  6. Step 6: Final answer
    x = 11,570.37

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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.