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Finding the Fourth Proportional to 9,998.42, 13,795.05 and 5,749.25

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Solution

The fourth proportional to 9,998.42, 13,795.05 and 5,749.25 is: 7,932.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.42 : 13,795.05 = 5,749.25 : x
  2. Step 2: Convert to fraction form
    9,998.42/13,795.05 = 5,749.25/x
  3. Step 3: Cross multiply
    9,998.42x = 13,795.05 × 5,749.25
  4. Step 4: Simplify right side
    9,998.42x = 79,311,191.21
  5. Step 5: Solve for x
    x = 79,311,191.21/9,998.42
  6. Step 6: Final answer
    x = 7,932.37

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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.