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Finding the Fourth Proportional to 6,498.13, 9,749.46 and 2,056.48

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Solution

The fourth proportional to 6,498.13, 9,749.46 and 2,056.48 is: 3,085.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.13 : 9,749.46 = 2,056.48 : x
  2. Step 2: Convert to fraction form
    6,498.13/9,749.46 = 2,056.48/x
  3. Step 3: Cross multiply
    6,498.13x = 9,749.46 × 2,056.48
  4. Step 4: Simplify right side
    6,498.13x = 20,049,569.50
  5. Step 5: Solve for x
    x = 20,049,569.50/6,498.13
  6. Step 6: Final answer
    x = 3,085.44

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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.