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Finding the Fourth Proportional to 8,496.70, 12,696.35 and 6,484.25

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Solution

The fourth proportional to 8,496.70, 12,696.35 and 6,484.25 is: 9,689.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.70 : 12,696.35 = 6,484.25 : x
  2. Step 2: Convert to fraction form
    8,496.70/12,696.35 = 6,484.25/x
  3. Step 3: Cross multiply
    8,496.70x = 12,696.35 × 6,484.25
  4. Step 4: Simplify right side
    8,496.70x = 82,326,306.81
  5. Step 5: Solve for x
    x = 82,326,306.81/8,496.70
  6. Step 6: Final answer
    x = 9,689.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.