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Finding the Fourth Proportional to 6,996.84, 10,495.25 and 6,569.16

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Solution

The fourth proportional to 6,996.84, 10,495.25 and 6,569.16 is: 9,853.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.84 : 10,495.25 = 6,569.16 : x
  2. Step 2: Convert to fraction form
    6,996.84/10,495.25 = 6,569.16/x
  3. Step 3: Cross multiply
    6,996.84x = 10,495.25 × 6,569.16
  4. Step 4: Simplify right side
    6,996.84x = 68,944,976.49
  5. Step 5: Solve for x
    x = 68,944,976.49/6,996.84
  6. Step 6: Final answer
    x = 9,853.73

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.