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Finding the Fourth Proportional to 9,052, 12,490.96 and 5,071.84

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Solution

The fourth proportional to 9,052, 12,490.96 and 5,071.84 is: 6,998.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,052 : 12,490.96 = 5,071.84 : x
  2. Step 2: Convert to fraction form
    9,052/12,490.96 = 5,071.84/x
  3. Step 3: Cross multiply
    9,052x = 12,490.96 × 5,071.84
  4. Step 4: Simplify right side
    9,052x = 63,352,150.57
  5. Step 5: Solve for x
    x = 63,352,150.57/9,052
  6. Step 6: Final answer
    x = 6,998.69

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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.