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Finding the Fourth Proportional to 10,591.84, 15,890.46 and 6,213.16

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Solution

The fourth proportional to 10,591.84, 15,890.46 and 6,213.16 is: 9,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.84 : 15,890.46 = 6,213.16 : x
  2. Step 2: Convert to fraction form
    10,591.84/15,890.46 = 6,213.16/x
  3. Step 3: Cross multiply
    10,591.84x = 15,890.46 × 6,213.16
  4. Step 4: Simplify right side
    10,591.84x = 98,729,970.45
  5. Step 5: Solve for x
    x = 98,729,970.45/10,591.84
  6. Step 6: Final answer
    x = 9,321.32

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1.5x scale

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.