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Finding the Fourth Proportional to 9,111.61, 13,667.41 and 6,569.22

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Solution

The fourth proportional to 9,111.61, 13,667.41 and 6,569.22 is: 9,853.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111.61 : 13,667.41 = 6,569.22 : x
  2. Step 2: Convert to fraction form
    9,111.61/13,667.41 = 6,569.22/x
  3. Step 3: Cross multiply
    9,111.61x = 13,667.41 × 6,569.22
  4. Step 4: Simplify right side
    9,111.61x = 89,784,223.12
  5. Step 5: Solve for x
    x = 89,784,223.12/9,111.61
  6. Step 6: Final answer
    x = 9,853.83

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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.