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Finding the Fourth Proportional to 6,304.88, 9,459.48 and 2,609.12

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Solution

The fourth proportional to 6,304.88, 9,459.48 and 2,609.12 is: 3,914.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.88 : 9,459.48 = 2,609.12 : x
  2. Step 2: Convert to fraction form
    6,304.88/9,459.48 = 2,609.12/x
  3. Step 3: Cross multiply
    6,304.88x = 9,459.48 × 2,609.12
  4. Step 4: Simplify right side
    6,304.88x = 24,680,918.46
  5. Step 5: Solve for x
    x = 24,680,918.46/6,304.88
  6. Step 6: Final answer
    x = 3,914.57

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Similar ratio
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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.