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Finding the Fourth Proportional to 17,472.72, 26,206.44 and 6,378

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Solution

The fourth proportional to 17,472.72, 26,206.44 and 6,378 is: 9,566.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,472.72 : 26,206.44 = 6,378 : x
  2. Step 2: Convert to fraction form
    17,472.72/26,206.44 = 6,378/x
  3. Step 3: Cross multiply
    17,472.72x = 26,206.44 × 6,378
  4. Step 4: Simplify right side
    17,472.72x = 167,144,674.32
  5. Step 5: Solve for x
    x = 167,144,674.32/17,472.72
  6. Step 6: Final answer
    x = 9,566.04

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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.