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Finding the Fourth Proportional to 6,938.18, 9,568.77 and 5,426.18

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Solution

The fourth proportional to 6,938.18, 9,568.77 and 5,426.18 is: 7,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.18 : 9,568.77 = 5,426.18 : x
  2. Step 2: Convert to fraction form
    6,938.18/9,568.77 = 5,426.18/x
  3. Step 3: Cross multiply
    6,938.18x = 9,568.77 × 5,426.18
  4. Step 4: Simplify right side
    6,938.18x = 51,921,868.40
  5. Step 5: Solve for x
    x = 51,921,868.40/6,938.18
  6. Step 6: Final answer
    x = 7,483.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.