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Finding the Fourth Proportional to 12,175.04, 16,801.62 and 6,586.04

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Solution

The fourth proportional to 12,175.04, 16,801.62 and 6,586.04 is: 9,088.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.04 : 16,801.62 = 6,586.04 : x
  2. Step 2: Convert to fraction form
    12,175.04/16,801.62 = 6,586.04/x
  3. Step 3: Cross multiply
    12,175.04x = 16,801.62 × 6,586.04
  4. Step 4: Simplify right side
    12,175.04x = 110,656,141.38
  5. Step 5: Solve for x
    x = 110,656,141.38/12,175.04
  6. Step 6: Final answer
    x = 9,088.77

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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.