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Finding the Fourth Proportional to 9,569.14, 13,213.29 and 9,079.90

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Solution

The fourth proportional to 9,569.14, 13,213.29 and 9,079.90 is: 12,537.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.14 : 13,213.29 = 9,079.90 : x
  2. Step 2: Convert to fraction form
    9,569.14/13,213.29 = 9,079.90/x
  3. Step 3: Cross multiply
    9,569.14x = 13,213.29 × 9,079.90
  4. Step 4: Simplify right side
    9,569.14x = 119,975,351.87
  5. Step 5: Solve for x
    x = 119,975,351.87/9,569.14
  6. Step 6: Final answer
    x = 12,537.74

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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.