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Finding the Fourth Proportional to 7,817.47, 10,788.11 and 4,232.42

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Solution

The fourth proportional to 7,817.47, 10,788.11 and 4,232.42 is: 5,840.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.47 : 10,788.11 = 4,232.42 : x
  2. Step 2: Convert to fraction form
    7,817.47/10,788.11 = 4,232.42/x
  3. Step 3: Cross multiply
    7,817.47x = 10,788.11 × 4,232.42
  4. Step 4: Simplify right side
    7,817.47x = 45,659,839.76
  5. Step 5: Solve for x
    x = 45,659,839.76/7,817.47
  6. Step 6: Final answer
    x = 5,840.75

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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.