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Finding the Fourth Proportional to 6,500.76, 9,744.98 and 4,003.48

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Solution

The fourth proportional to 6,500.76, 9,744.98 and 4,003.48 is: 6,001.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.76 : 9,744.98 = 4,003.48 : x
  2. Step 2: Convert to fraction form
    6,500.76/9,744.98 = 4,003.48/x
  3. Step 3: Cross multiply
    6,500.76x = 9,744.98 × 4,003.48
  4. Step 4: Simplify right side
    6,500.76x = 39,013,783.81
  5. Step 5: Solve for x
    x = 39,013,783.81/6,500.76
  6. Step 6: Final answer
    x = 6,001.42

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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.