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Finding the Fourth Proportional to 10,728.92, 14,803.13 and 6,476.62

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Solution

The fourth proportional to 10,728.92, 14,803.13 and 6,476.62 is: 8,936.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.92 : 14,803.13 = 6,476.62 : x
  2. Step 2: Convert to fraction form
    10,728.92/14,803.13 = 6,476.62/x
  3. Step 3: Cross multiply
    10,728.92x = 14,803.13 × 6,476.62
  4. Step 4: Simplify right side
    10,728.92x = 95,874,247.82
  5. Step 5: Solve for x
    x = 95,874,247.82/10,728.92
  6. Step 6: Final answer
    x = 8,936.06

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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.