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Finding the Fourth Proportional to 4,777.27, 7,162.64 and 2,432.74

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Solution

The fourth proportional to 4,777.27, 7,162.64 and 2,432.74 is: 3,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.27 : 7,162.64 = 2,432.74 : x
  2. Step 2: Convert to fraction form
    4,777.27/7,162.64 = 2,432.74/x
  3. Step 3: Cross multiply
    4,777.27x = 7,162.64 × 2,432.74
  4. Step 4: Simplify right side
    4,777.27x = 17,424,840.83
  5. Step 5: Solve for x
    x = 17,424,840.83/4,777.27
  6. Step 6: Final answer
    x = 3,647.45

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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.