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Finding the Fourth Proportional to 10,648.64, 14,696.58 and 6,173.80

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Solution

The fourth proportional to 10,648.64, 14,696.58 and 6,173.80 is: 8,520.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.64 : 14,696.58 = 6,173.80 : x
  2. Step 2: Convert to fraction form
    10,648.64/14,696.58 = 6,173.80/x
  3. Step 3: Cross multiply
    10,648.64x = 14,696.58 × 6,173.80
  4. Step 4: Simplify right side
    10,648.64x = 90,733,745.60
  5. Step 5: Solve for x
    x = 90,733,745.60/10,648.64
  6. Step 6: Final answer
    x = 8,520.69

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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.