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Finding the Fourth Proportional to 9,352.96, 12,911.12 and 6,695.76

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Solution

The fourth proportional to 9,352.96, 12,911.12 and 6,695.76 is: 9,243.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.96 : 12,911.12 = 6,695.76 : x
  2. Step 2: Convert to fraction form
    9,352.96/12,911.12 = 6,695.76/x
  3. Step 3: Cross multiply
    9,352.96x = 12,911.12 × 6,695.76
  4. Step 4: Simplify right side
    9,352.96x = 86,449,760.85
  5. Step 5: Solve for x
    x = 86,449,760.85/9,352.96
  6. Step 6: Final answer
    x = 9,243.04

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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.