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Finding the Fourth Proportional to 6,938.66, 9,568.63 and 5,876.35

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Solution

The fourth proportional to 6,938.66, 9,568.63 and 5,876.35 is: 8,103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.66 : 9,568.63 = 5,876.35 : x
  2. Step 2: Convert to fraction form
    6,938.66/9,568.63 = 5,876.35/x
  3. Step 3: Cross multiply
    6,938.66x = 9,568.63 × 5,876.35
  4. Step 4: Simplify right side
    6,938.66x = 56,228,580.29
  5. Step 5: Solve for x
    x = 56,228,580.29/6,938.66
  6. Step 6: Final answer
    x = 8,103.66

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1.5x scale

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.