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Finding the Fourth Proportional to 15,066, 22,599 and 4,677.75

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Solution

The fourth proportional to 15,066, 22,599 and 4,677.75 is: 7,016.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,066 : 22,599 = 4,677.75 : x
  2. Step 2: Convert to fraction form
    15,066/22,599 = 4,677.75/x
  3. Step 3: Cross multiply
    15,066x = 22,599 × 4,677.75
  4. Step 4: Simplify right side
    15,066x = 105,712,472.25
  5. Step 5: Solve for x
    x = 105,712,472.25/15,066
  6. Step 6: Final answer
    x = 7,016.63

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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.