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Finding the Fourth Proportional to 9,998.10, 13,797 and 5,748.57

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Solution

The fourth proportional to 9,998.10, 13,797 and 5,748.57 is: 7,932.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.10 : 13,797 = 5,748.57 : x
  2. Step 2: Convert to fraction form
    9,998.10/13,797 = 5,748.57/x
  3. Step 3: Cross multiply
    9,998.10x = 13,797 × 5,748.57
  4. Step 4: Simplify right side
    9,998.10x = 79,313,020.29
  5. Step 5: Solve for x
    x = 79,313,020.29/9,998.10
  6. Step 6: Final answer
    x = 7,932.81

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.