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Finding the Fourth Proportional to 9,523.69, 14,335.21 and 8,618.11

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Solution

The fourth proportional to 9,523.69, 14,335.21 and 8,618.11 is: 12,972.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.69 : 14,335.21 = 8,618.11 : x
  2. Step 2: Convert to fraction form
    9,523.69/14,335.21 = 8,618.11/x
  3. Step 3: Cross multiply
    9,523.69x = 14,335.21 × 8,618.11
  4. Step 4: Simplify right side
    9,523.69x = 123,542,416.65
  5. Step 5: Solve for x
    x = 123,542,416.65/9,523.69
  6. Step 6: Final answer
    x = 12,972.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.