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Finding the Fourth Proportional to 12,807.18, 17,663.67 and 8,827.38

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Solution

The fourth proportional to 12,807.18, 17,663.67 and 8,827.38 is: 12,174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.18 : 17,663.67 = 8,827.38 : x
  2. Step 2: Convert to fraction form
    12,807.18/17,663.67 = 8,827.38/x
  3. Step 3: Cross multiply
    12,807.18x = 17,663.67 × 8,827.38
  4. Step 4: Simplify right side
    12,807.18x = 155,923,927.28
  5. Step 5: Solve for x
    x = 155,923,927.28/12,807.18
  6. Step 6: Final answer
    x = 12,174.73

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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.