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Finding the Fourth Proportional to 11,702.32, 17,632.41 and 9,667.89

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Solution

The fourth proportional to 11,702.32, 17,632.41 and 9,667.89 is: 14,567.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.32 : 17,632.41 = 9,667.89 : x
  2. Step 2: Convert to fraction form
    11,702.32/17,632.41 = 9,667.89/x
  3. Step 3: Cross multiply
    11,702.32x = 17,632.41 × 9,667.89
  4. Step 4: Simplify right side
    11,702.32x = 170,468,200.31
  5. Step 5: Solve for x
    x = 170,468,200.31/11,702.32
  6. Step 6: Final answer
    x = 14,567.04

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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.