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Finding the Fourth Proportional to 9,591.68, 14,366.70 and 4,650.96

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Solution

The fourth proportional to 9,591.68, 14,366.70 and 4,650.96 is: 6,966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.68 : 14,366.70 = 4,650.96 : x
  2. Step 2: Convert to fraction form
    9,591.68/14,366.70 = 4,650.96/x
  3. Step 3: Cross multiply
    9,591.68x = 14,366.70 × 4,650.96
  4. Step 4: Simplify right side
    9,591.68x = 66,818,947.03
  5. Step 5: Solve for x
    x = 66,818,947.03/9,591.68
  6. Step 6: Final answer
    x = 6,966.34

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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.