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Finding the Fourth Proportional to 8,697.69, 13,043.84 and 2,853

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Solution

The fourth proportional to 8,697.69, 13,043.84 and 2,853 is: 4,278.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.69 : 13,043.84 = 2,853 : x
  2. Step 2: Convert to fraction form
    8,697.69/13,043.84 = 2,853/x
  3. Step 3: Cross multiply
    8,697.69x = 13,043.84 × 2,853
  4. Step 4: Simplify right side
    8,697.69x = 37,214,061.26
  5. Step 5: Solve for x
    x = 37,214,061.26/8,697.69
  6. Step 6: Final answer
    x = 4,278.61

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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.