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Finding the Fourth Proportional to 10,976.90, 16,433.05 and 6,803.51

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Solution

The fourth proportional to 10,976.90, 16,433.05 and 6,803.51 is: 10,185.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976.90 : 16,433.05 = 6,803.51 : x
  2. Step 2: Convert to fraction form
    10,976.90/16,433.05 = 6,803.51/x
  3. Step 3: Cross multiply
    10,976.90x = 16,433.05 × 6,803.51
  4. Step 4: Simplify right side
    10,976.90x = 111,802,382.46
  5. Step 5: Solve for x
    x = 111,802,382.46/10,976.90
  6. Step 6: Final answer
    x = 10,185.24

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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.