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Finding the Fourth Proportional to 9,098.52, 12,554.94 and 5,121

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Solution

The fourth proportional to 9,098.52, 12,554.94 and 5,121 is: 7,066.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.52 : 12,554.94 = 5,121 : x
  2. Step 2: Convert to fraction form
    9,098.52/12,554.94 = 5,121/x
  3. Step 3: Cross multiply
    9,098.52x = 12,554.94 × 5,121
  4. Step 4: Simplify right side
    9,098.52x = 64,293,847.74
  5. Step 5: Solve for x
    x = 64,293,847.74/9,098.52
  6. Step 6: Final answer
    x = 7,066.41

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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.