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Finding the Fourth Proportional to 7,228.58, 10,842.88 and 2,298.22

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Solution

The fourth proportional to 7,228.58, 10,842.88 and 2,298.22 is: 3,447.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.58 : 10,842.88 = 2,298.22 : x
  2. Step 2: Convert to fraction form
    7,228.58/10,842.88 = 2,298.22/x
  3. Step 3: Cross multiply
    7,228.58x = 10,842.88 × 2,298.22
  4. Step 4: Simplify right side
    7,228.58x = 24,919,323.67
  5. Step 5: Solve for x
    x = 24,919,323.67/7,228.58
  6. Step 6: Final answer
    x = 3,447.33

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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.