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Finding the Fourth Proportional to 6,969.70, 10,469.13 and 5,876.20

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Solution

The fourth proportional to 6,969.70, 10,469.13 and 5,876.20 is: 8,826.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.70 : 10,469.13 = 5,876.20 : x
  2. Step 2: Convert to fraction form
    6,969.70/10,469.13 = 5,876.20/x
  3. Step 3: Cross multiply
    6,969.70x = 10,469.13 × 5,876.20
  4. Step 4: Simplify right side
    6,969.70x = 61,518,701.71
  5. Step 5: Solve for x
    x = 61,518,701.71/6,969.70
  6. Step 6: Final answer
    x = 8,826.59

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1.5x scale

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.