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Finding the Fourth Proportional to 9,054, 13,584.24 and 2,898

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Solution

The fourth proportional to 9,054, 13,584.24 and 2,898 is: 4,348.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,054 : 13,584.24 = 2,898 : x
  2. Step 2: Convert to fraction form
    9,054/13,584.24 = 2,898/x
  3. Step 3: Cross multiply
    9,054x = 13,584.24 × 2,898
  4. Step 4: Simplify right side
    9,054x = 39,367,127.52
  5. Step 5: Solve for x
    x = 39,367,127.52/9,054
  6. Step 6: Final answer
    x = 4,348.04

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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.