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Finding the Fourth Proportional to 3,432.36, 5,148.46 and 835.24

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Solution

The fourth proportional to 3,432.36, 5,148.46 and 835.24 is: 1,252.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.36 : 5,148.46 = 835.24 : x
  2. Step 2: Convert to fraction form
    3,432.36/5,148.46 = 835.24/x
  3. Step 3: Cross multiply
    3,432.36x = 5,148.46 × 835.24
  4. Step 4: Simplify right side
    3,432.36x = 4,300,199.73
  5. Step 5: Solve for x
    x = 4,300,199.73/3,432.36
  6. Step 6: Final answer
    x = 1,252.84

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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.