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Finding the Fourth Proportional to 6,976.90, 10,470.84 and 6,156.82

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Solution

The fourth proportional to 6,976.90, 10,470.84 and 6,156.82 is: 9,240.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.90 : 10,470.84 = 6,156.82 : x
  2. Step 2: Convert to fraction form
    6,976.90/10,470.84 = 6,156.82/x
  3. Step 3: Cross multiply
    6,976.90x = 10,470.84 × 6,156.82
  4. Step 4: Simplify right side
    6,976.90x = 64,467,077.13
  5. Step 5: Solve for x
    x = 64,467,077.13/6,976.90
  6. Step 6: Final answer
    x = 9,240.07

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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.