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Finding the Fourth Proportional to 9,018, 13,527 and 5,069.52

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Solution

The fourth proportional to 9,018, 13,527 and 5,069.52 is: 7,604.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,018 : 13,527 = 5,069.52 : x
  2. Step 2: Convert to fraction form
    9,018/13,527 = 5,069.52/x
  3. Step 3: Cross multiply
    9,018x = 13,527 × 5,069.52
  4. Step 4: Simplify right side
    9,018x = 68,575,397.04
  5. Step 5: Solve for x
    x = 68,575,397.04/9,018
  6. Step 6: Final answer
    x = 7,604.28

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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.