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Finding the Fourth Proportional to 9,596.76, 14,394.87 and 5,241.80

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Solution

The fourth proportional to 9,596.76, 14,394.87 and 5,241.80 is: 7,862.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.76 : 14,394.87 = 5,241.80 : x
  2. Step 2: Convert to fraction form
    9,596.76/14,394.87 = 5,241.80/x
  3. Step 3: Cross multiply
    9,596.76x = 14,394.87 × 5,241.80
  4. Step 4: Simplify right side
    9,596.76x = 75,454,957.59
  5. Step 5: Solve for x
    x = 75,454,957.59/9,596.76
  6. Step 6: Final answer
    x = 7,862.55

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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.