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Finding the Fourth Proportional to 8,202.40, 12,307.20 and 4,305.88

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Solution

The fourth proportional to 8,202.40, 12,307.20 and 4,305.88 is: 6,460.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.40 : 12,307.20 = 4,305.88 : x
  2. Step 2: Convert to fraction form
    8,202.40/12,307.20 = 4,305.88/x
  3. Step 3: Cross multiply
    8,202.40x = 12,307.20 × 4,305.88
  4. Step 4: Simplify right side
    8,202.40x = 52,993,326.34
  5. Step 5: Solve for x
    x = 52,993,326.34/8,202.40
  6. Step 6: Final answer
    x = 6,460.71

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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.