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Finding the Fourth Proportional to 6,528.87, 9,796.89 and 2,831.13

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Solution

The fourth proportional to 6,528.87, 9,796.89 and 2,831.13 is: 4,248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.87 : 9,796.89 = 2,831.13 : x
  2. Step 2: Convert to fraction form
    6,528.87/9,796.89 = 2,831.13/x
  3. Step 3: Cross multiply
    6,528.87x = 9,796.89 × 2,831.13
  4. Step 4: Simplify right side
    6,528.87x = 27,736,269.19
  5. Step 5: Solve for x
    x = 27,736,269.19/6,528.87
  6. Step 6: Final answer
    x = 4,248.25

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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.