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Finding the Fourth Proportional to 8,996.48, 13,494.24 and 2,840

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Solution

The fourth proportional to 8,996.48, 13,494.24 and 2,840 is: 4,259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996.48 : 13,494.24 = 2,840 : x
  2. Step 2: Convert to fraction form
    8,996.48/13,494.24 = 2,840/x
  3. Step 3: Cross multiply
    8,996.48x = 13,494.24 × 2,840
  4. Step 4: Simplify right side
    8,996.48x = 38,323,641.60
  5. Step 5: Solve for x
    x = 38,323,641.60/8,996.48
  6. Step 6: Final answer
    x = 4,259.85

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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.