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Finding the Fourth Proportional to 6,277.60, 9,410.10 and 3,152.80

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Solution

The fourth proportional to 6,277.60, 9,410.10 and 3,152.80 is: 4,726.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.60 : 9,410.10 = 3,152.80 : x
  2. Step 2: Convert to fraction form
    6,277.60/9,410.10 = 3,152.80/x
  3. Step 3: Cross multiply
    6,277.60x = 9,410.10 × 3,152.80
  4. Step 4: Simplify right side
    6,277.60x = 29,668,163.28
  5. Step 5: Solve for x
    x = 29,668,163.28/6,277.60
  6. Step 6: Final answer
    x = 4,726.04

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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.