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Finding the Fourth Proportional to 6,555.76, 9,831.03 and 2,394.82

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Solution

The fourth proportional to 6,555.76, 9,831.03 and 2,394.82 is: 3,591.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.76 : 9,831.03 = 2,394.82 : x
  2. Step 2: Convert to fraction form
    6,555.76/9,831.03 = 2,394.82/x
  3. Step 3: Cross multiply
    6,555.76x = 9,831.03 × 2,394.82
  4. Step 4: Simplify right side
    6,555.76x = 23,543,547.26
  5. Step 5: Solve for x
    x = 23,543,547.26/6,555.76
  6. Step 6: Final answer
    x = 3,591.28

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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.