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Finding the Fourth Proportional to 12,175, 16,801.62 and 6,586.12

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Solution

The fourth proportional to 12,175, 16,801.62 and 6,586.12 is: 9,088.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175 : 16,801.62 = 6,586.12 : x
  2. Step 2: Convert to fraction form
    12,175/16,801.62 = 6,586.12/x
  3. Step 3: Cross multiply
    12,175x = 16,801.62 × 6,586.12
  4. Step 4: Simplify right side
    12,175x = 110,657,485.51
  5. Step 5: Solve for x
    x = 110,657,485.51/12,175
  6. Step 6: Final answer
    x = 9,088.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.