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Finding the Fourth Proportional to 9,098.48, 12,556.48 and 5,513.75

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Solution

The fourth proportional to 9,098.48, 12,556.48 and 5,513.75 is: 7,609.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.48 : 12,556.48 = 5,513.75 : x
  2. Step 2: Convert to fraction form
    9,098.48/12,556.48 = 5,513.75/x
  3. Step 3: Cross multiply
    9,098.48x = 12,556.48 × 5,513.75
  4. Step 4: Simplify right side
    9,098.48x = 69,233,295.42
  5. Step 5: Solve for x
    x = 69,233,295.42/9,098.48
  6. Step 6: Final answer
    x = 7,609.33

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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.