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Finding the Fourth Proportional to 10,792.72, 16,177.74 and 6,898.24

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Solution

The fourth proportional to 10,792.72, 16,177.74 and 6,898.24 is: 10,340.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792.72 : 16,177.74 = 6,898.24 : x
  2. Step 2: Convert to fraction form
    10,792.72/16,177.74 = 6,898.24/x
  3. Step 3: Cross multiply
    10,792.72x = 16,177.74 × 6,898.24
  4. Step 4: Simplify right side
    10,792.72x = 111,597,933.18
  5. Step 5: Solve for x
    x = 111,597,933.18/10,792.72
  6. Step 6: Final answer
    x = 10,340.11

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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.