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Finding the Fourth Proportional to 6,997.34, 10,496.01 and 6,569.66

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Solution

The fourth proportional to 6,997.34, 10,496.01 and 6,569.66 is: 9,854.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.34 : 10,496.01 = 6,569.66 : x
  2. Step 2: Convert to fraction form
    6,997.34/10,496.01 = 6,569.66/x
  3. Step 3: Cross multiply
    6,997.34x = 10,496.01 × 6,569.66
  4. Step 4: Simplify right side
    6,997.34x = 68,955,164.58
  5. Step 5: Solve for x
    x = 68,955,164.58/6,997.34
  6. Step 6: Final answer
    x = 9,854.49

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Half scale
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Double scale
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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.