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Finding the Fourth Proportional to 6,998.49, 10,498.97 and 2,317.23

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Solution

The fourth proportional to 6,998.49, 10,498.97 and 2,317.23 is: 3,476.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.49 : 10,498.97 = 2,317.23 : x
  2. Step 2: Convert to fraction form
    6,998.49/10,498.97 = 2,317.23/x
  3. Step 3: Cross multiply
    6,998.49x = 10,498.97 × 2,317.23
  4. Step 4: Simplify right side
    6,998.49x = 24,328,528.25
  5. Step 5: Solve for x
    x = 24,328,528.25/6,998.49
  6. Step 6: Final answer
    x = 3,476.25

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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.