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Finding the Fourth Proportional to 7,228.60, 10,842.90 and 4,310.20

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Solution

The fourth proportional to 7,228.60, 10,842.90 and 4,310.20 is: 6,465.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.60 : 10,842.90 = 4,310.20 : x
  2. Step 2: Convert to fraction form
    7,228.60/10,842.90 = 4,310.20/x
  3. Step 3: Cross multiply
    7,228.60x = 10,842.90 × 4,310.20
  4. Step 4: Simplify right side
    7,228.60x = 46,735,067.58
  5. Step 5: Solve for x
    x = 46,735,067.58/7,228.60
  6. Step 6: Final answer
    x = 6,465.30

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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.