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Finding the Fourth Proportional to 6,498.86, 9,749.25 and 1,881.26

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Solution

The fourth proportional to 6,498.86, 9,749.25 and 1,881.26 is: 2,822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.86 : 9,749.25 = 1,881.26 : x
  2. Step 2: Convert to fraction form
    6,498.86/9,749.25 = 1,881.26/x
  3. Step 3: Cross multiply
    6,498.86x = 9,749.25 × 1,881.26
  4. Step 4: Simplify right side
    6,498.86x = 18,340,874.06
  5. Step 5: Solve for x
    x = 18,340,874.06/6,498.86
  6. Step 6: Final answer
    x = 2,822.17

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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.