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Finding the Fourth Proportional to 7,309.76, 10,084.84 and 4,164.12

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Solution

The fourth proportional to 7,309.76, 10,084.84 and 4,164.12 is: 5,744.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.76 : 10,084.84 = 4,164.12 : x
  2. Step 2: Convert to fraction form
    7,309.76/10,084.84 = 4,164.12/x
  3. Step 3: Cross multiply
    7,309.76x = 10,084.84 × 4,164.12
  4. Step 4: Simplify right side
    7,309.76x = 41,994,473.53
  5. Step 5: Solve for x
    x = 41,994,473.53/7,309.76
  6. Step 6: Final answer
    x = 5,744.99

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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.