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Finding the Fourth Proportional to 10,523.17, 15,798.59 and 8,198.11

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Solution

The fourth proportional to 10,523.17, 15,798.59 and 8,198.11 is: 12,307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.17 : 15,798.59 = 8,198.11 : x
  2. Step 2: Convert to fraction form
    10,523.17/15,798.59 = 8,198.11/x
  3. Step 3: Cross multiply
    10,523.17x = 15,798.59 × 8,198.11
  4. Step 4: Simplify right side
    10,523.17x = 129,518,634.28
  5. Step 5: Solve for x
    x = 129,518,634.28/10,523.17
  6. Step 6: Final answer
    x = 12,307.95

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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.