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Finding the Fourth Proportional to 9,662.52, 13,325.04 and 6,307.96

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Solution

The fourth proportional to 9,662.52, 13,325.04 and 6,307.96 is: 8,698.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.52 : 13,325.04 = 6,307.96 : x
  2. Step 2: Convert to fraction form
    9,662.52/13,325.04 = 6,307.96/x
  3. Step 3: Cross multiply
    9,662.52x = 13,325.04 × 6,307.96
  4. Step 4: Simplify right side
    9,662.52x = 84,053,819.32
  5. Step 5: Solve for x
    x = 84,053,819.32/9,662.52
  6. Step 6: Final answer
    x = 8,698.95

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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.