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Finding the Fourth Proportional to 8,063.84, 11,998.20 and 7,862.96

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Solution

The fourth proportional to 8,063.84, 11,998.20 and 7,862.96 is: 11,699.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,063.84 : 11,998.20 = 7,862.96 : x
  2. Step 2: Convert to fraction form
    8,063.84/11,998.20 = 7,862.96/x
  3. Step 3: Cross multiply
    8,063.84x = 11,998.20 × 7,862.96
  4. Step 4: Simplify right side
    8,063.84x = 94,341,366.67
  5. Step 5: Solve for x
    x = 94,341,366.67/8,063.84
  6. Step 6: Final answer
    x = 11,699.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.