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Finding the Fourth Proportional to 16,767.16, 25,154.46 and 6,379

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Solution

The fourth proportional to 16,767.16, 25,154.46 and 6,379 is: 9,569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,767.16 : 25,154.46 = 6,379 : x
  2. Step 2: Convert to fraction form
    16,767.16/25,154.46 = 6,379/x
  3. Step 3: Cross multiply
    16,767.16x = 25,154.46 × 6,379
  4. Step 4: Simplify right side
    16,767.16x = 160,460,300.34
  5. Step 5: Solve for x
    x = 160,460,300.34/16,767.16
  6. Step 6: Final answer
    x = 9,569.92

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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.