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Finding the Fourth Proportional to 9,568.80, 14,352.88 and 5,194.88

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Solution

The fourth proportional to 9,568.80, 14,352.88 and 5,194.88 is: 7,792.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.80 : 14,352.88 = 5,194.88 : x
  2. Step 2: Convert to fraction form
    9,568.80/14,352.88 = 5,194.88/x
  3. Step 3: Cross multiply
    9,568.80x = 14,352.88 × 5,194.88
  4. Step 4: Simplify right side
    9,568.80x = 74,561,489.25
  5. Step 5: Solve for x
    x = 74,561,489.25/9,568.80
  6. Step 6: Final answer
    x = 7,792.15

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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.