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Finding the Fourth Proportional to 6,282.40, 9,416.40 and 2,582.80

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Solution

The fourth proportional to 6,282.40, 9,416.40 and 2,582.80 is: 3,871.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.40 : 9,416.40 = 2,582.80 : x
  2. Step 2: Convert to fraction form
    6,282.40/9,416.40 = 2,582.80/x
  3. Step 3: Cross multiply
    6,282.40x = 9,416.40 × 2,582.80
  4. Step 4: Simplify right side
    6,282.40x = 24,320,677.92
  5. Step 5: Solve for x
    x = 24,320,677.92/6,282.40
  6. Step 6: Final answer
    x = 3,871.24

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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.