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Finding the Fourth Proportional to 10,549.08, 14,556.78 and 5,833.08

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Solution

The fourth proportional to 10,549.08, 14,556.78 and 5,833.08 is: 8,049.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.08 : 14,556.78 = 5,833.08 : x
  2. Step 2: Convert to fraction form
    10,549.08/14,556.78 = 5,833.08/x
  3. Step 3: Cross multiply
    10,549.08x = 14,556.78 × 5,833.08
  4. Step 4: Simplify right side
    10,549.08x = 84,910,862.28
  5. Step 5: Solve for x
    x = 84,910,862.28/10,549.08
  6. Step 6: Final answer
    x = 8,049.12

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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.