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Finding the Fourth Proportional to 6,386.19, 9,568.64 and 2,223.90

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Solution

The fourth proportional to 6,386.19, 9,568.64 and 2,223.90 is: 3,332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.19 : 9,568.64 = 2,223.90 : x
  2. Step 2: Convert to fraction form
    6,386.19/9,568.64 = 2,223.90/x
  3. Step 3: Cross multiply
    6,386.19x = 9,568.64 × 2,223.90
  4. Step 4: Simplify right side
    6,386.19x = 21,279,698.50
  5. Step 5: Solve for x
    x = 21,279,698.50/6,386.19
  6. Step 6: Final answer
    x = 3,332.14

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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.