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Finding the Fourth Proportional to 8,362.84, 11,543.88 and 7,179.16

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Solution

The fourth proportional to 8,362.84, 11,543.88 and 7,179.16 is: 9,909.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.84 : 11,543.88 = 7,179.16 : x
  2. Step 2: Convert to fraction form
    8,362.84/11,543.88 = 7,179.16/x
  3. Step 3: Cross multiply
    8,362.84x = 11,543.88 × 7,179.16
  4. Step 4: Simplify right side
    8,362.84x = 82,875,361.54
  5. Step 5: Solve for x
    x = 82,875,361.54/8,362.84
  6. Step 6: Final answer
    x = 9,909.95

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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.