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Finding the Fourth Proportional to 9,199.86, 12,695.97 and 5,008.14

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Solution

The fourth proportional to 9,199.86, 12,695.97 and 5,008.14 is: 6,911.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.86 : 12,695.97 = 5,008.14 : x
  2. Step 2: Convert to fraction form
    9,199.86/12,695.97 = 5,008.14/x
  3. Step 3: Cross multiply
    9,199.86x = 12,695.97 × 5,008.14
  4. Step 4: Simplify right side
    9,199.86x = 63,583,195.20
  5. Step 5: Solve for x
    x = 63,583,195.20/9,199.86
  6. Step 6: Final answer
    x = 6,911.32

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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.