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Finding the Fourth Proportional to 6,307.60, 9,461.16 and 2,559.25

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Solution

The fourth proportional to 6,307.60, 9,461.16 and 2,559.25 is: 3,838.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.60 : 9,461.16 = 2,559.25 : x
  2. Step 2: Convert to fraction form
    6,307.60/9,461.16 = 2,559.25/x
  3. Step 3: Cross multiply
    6,307.60x = 9,461.16 × 2,559.25
  4. Step 4: Simplify right side
    6,307.60x = 24,213,473.73
  5. Step 5: Solve for x
    x = 24,213,473.73/6,307.60
  6. Step 6: Final answer
    x = 3,838.78

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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.