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Finding the Fourth Proportional to 9,577.12, 13,221.48 and 7,224.88

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Solution

The fourth proportional to 9,577.12, 13,221.48 and 7,224.88 is: 9,974.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.12 : 13,221.48 = 7,224.88 : x
  2. Step 2: Convert to fraction form
    9,577.12/13,221.48 = 7,224.88/x
  3. Step 3: Cross multiply
    9,577.12x = 13,221.48 × 7,224.88
  4. Step 4: Simplify right side
    9,577.12x = 95,523,606.42
  5. Step 5: Solve for x
    x = 95,523,606.42/9,577.12
  6. Step 6: Final answer
    x = 9,974.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.