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Finding the Fourth Proportional to 6,508.89, 9,749.52 and 3,001.77

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Solution

The fourth proportional to 6,508.89, 9,749.52 and 3,001.77 is: 4,496.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.89 : 9,749.52 = 3,001.77 : x
  2. Step 2: Convert to fraction form
    6,508.89/9,749.52 = 3,001.77/x
  3. Step 3: Cross multiply
    6,508.89x = 9,749.52 × 3,001.77
  4. Step 4: Simplify right side
    6,508.89x = 29,265,816.65
  5. Step 5: Solve for x
    x = 29,265,816.65/6,508.89
  6. Step 6: Final answer
    x = 4,496.28

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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.