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Finding the Fourth Proportional to 9,675, 13,352.76 and 5,696.48

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Solution

The fourth proportional to 9,675, 13,352.76 and 5,696.48 is: 7,861.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675 : 13,352.76 = 5,696.48 : x
  2. Step 2: Convert to fraction form
    9,675/13,352.76 = 5,696.48/x
  3. Step 3: Cross multiply
    9,675x = 13,352.76 × 5,696.48
  4. Step 4: Simplify right side
    9,675x = 76,063,730.28
  5. Step 5: Solve for x
    x = 76,063,730.28/9,675
  6. Step 6: Final answer
    x = 7,861.88

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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.