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Finding the Fourth Proportional to 6,904.87, 9,466.76 and 6,780.44

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Solution

The fourth proportional to 6,904.87, 9,466.76 and 6,780.44 is: 9,296.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.87 : 9,466.76 = 6,780.44 : x
  2. Step 2: Convert to fraction form
    6,904.87/9,466.76 = 6,780.44/x
  3. Step 3: Cross multiply
    6,904.87x = 9,466.76 × 6,780.44
  4. Step 4: Simplify right side
    6,904.87x = 64,188,838.79
  5. Step 5: Solve for x
    x = 64,188,838.79/6,904.87
  6. Step 6: Final answer
    x = 9,296.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.