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Finding the Fourth Proportional to 16,838.24, 25,253.16 and 6,980.24

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Solution

The fourth proportional to 16,838.24, 25,253.16 and 6,980.24 is: 10,468.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,838.24 : 25,253.16 = 6,980.24 : x
  2. Step 2: Convert to fraction form
    16,838.24/25,253.16 = 6,980.24/x
  3. Step 3: Cross multiply
    16,838.24x = 25,253.16 × 6,980.24
  4. Step 4: Simplify right side
    16,838.24x = 176,273,117.56
  5. Step 5: Solve for x
    x = 176,273,117.56/16,838.24
  6. Step 6: Final answer
    x = 10,468.62

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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.