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Finding the Fourth Proportional to 6,503.96, 9,744.60 and 3,901.16

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Solution

The fourth proportional to 6,503.96, 9,744.60 and 3,901.16 is: 5,844.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.96 : 9,744.60 = 3,901.16 : x
  2. Step 2: Convert to fraction form
    6,503.96/9,744.60 = 3,901.16/x
  3. Step 3: Cross multiply
    6,503.96x = 9,744.60 × 3,901.16
  4. Step 4: Simplify right side
    6,503.96x = 38,015,243.74
  5. Step 5: Solve for x
    x = 38,015,243.74/6,503.96
  6. Step 6: Final answer
    x = 5,844.94

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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.