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Finding the Fourth Proportional to 10,319.84, 14,241.10 and 5,843.52

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Solution

The fourth proportional to 10,319.84, 14,241.10 and 5,843.52 is: 8,063.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319.84 : 14,241.10 = 5,843.52 : x
  2. Step 2: Convert to fraction form
    10,319.84/14,241.10 = 5,843.52/x
  3. Step 3: Cross multiply
    10,319.84x = 14,241.10 × 5,843.52
  4. Step 4: Simplify right side
    10,319.84x = 83,218,152.67
  5. Step 5: Solve for x
    x = 83,218,152.67/10,319.84
  6. Step 6: Final answer
    x = 8,063.90

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1.5x scale

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.