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Finding the Fourth Proportional to 12,666.90, 17,480.46 and 7,636.38

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Solution

The fourth proportional to 12,666.90, 17,480.46 and 7,636.38 is: 10,538.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,666.90 : 17,480.46 = 7,636.38 : x
  2. Step 2: Convert to fraction form
    12,666.90/17,480.46 = 7,636.38/x
  3. Step 3: Cross multiply
    12,666.90x = 17,480.46 × 7,636.38
  4. Step 4: Simplify right side
    12,666.90x = 133,487,435.13
  5. Step 5: Solve for x
    x = 133,487,435.13/12,666.90
  6. Step 6: Final answer
    x = 10,538.29

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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.