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Finding the Fourth Proportional to 10,271.60, 15,414.60 and 6,582.80

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Solution

The fourth proportional to 10,271.60, 15,414.60 and 6,582.80 is: 9,878.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.60 : 15,414.60 = 6,582.80 : x
  2. Step 2: Convert to fraction form
    10,271.60/15,414.60 = 6,582.80/x
  3. Step 3: Cross multiply
    10,271.60x = 15,414.60 × 6,582.80
  4. Step 4: Simplify right side
    10,271.60x = 101,471,228.88
  5. Step 5: Solve for x
    x = 101,471,228.88/10,271.60
  6. Step 6: Final answer
    x = 9,878.81

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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.