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Finding the Fourth Proportional to 9,696.90, 13,377.14 and 8,295.64

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Solution

The fourth proportional to 9,696.90, 13,377.14 and 8,295.64 is: 11,444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.90 : 13,377.14 = 8,295.64 : x
  2. Step 2: Convert to fraction form
    9,696.90/13,377.14 = 8,295.64/x
  3. Step 3: Cross multiply
    9,696.90x = 13,377.14 × 8,295.64
  4. Step 4: Simplify right side
    9,696.90x = 110,971,898.38
  5. Step 5: Solve for x
    x = 110,971,898.38/9,696.90
  6. Step 6: Final answer
    x = 11,444.06

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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.