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Finding the Fourth Proportional to 9,221.60, 13,841.04 and 4,842.20

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Solution

The fourth proportional to 9,221.60, 13,841.04 and 4,842.20 is: 7,267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.60 : 13,841.04 = 4,842.20 : x
  2. Step 2: Convert to fraction form
    9,221.60/13,841.04 = 4,842.20/x
  3. Step 3: Cross multiply
    9,221.60x = 13,841.04 × 4,842.20
  4. Step 4: Simplify right side
    9,221.60x = 67,021,083.89
  5. Step 5: Solve for x
    x = 67,021,083.89/9,221.60
  6. Step 6: Final answer
    x = 7,267.84

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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.