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Finding the Fourth Proportional to 7,951.90, 10,969 and 6,698.83

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Solution

The fourth proportional to 7,951.90, 10,969 and 6,698.83 is: 9,240.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.90 : 10,969 = 6,698.83 : x
  2. Step 2: Convert to fraction form
    7,951.90/10,969 = 6,698.83/x
  3. Step 3: Cross multiply
    7,951.90x = 10,969 × 6,698.83
  4. Step 4: Simplify right side
    7,951.90x = 73,479,466.27
  5. Step 5: Solve for x
    x = 73,479,466.27/7,951.90
  6. Step 6: Final answer
    x = 9,240.49

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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.