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Finding the Fourth Proportional to 10,068.40, 15,096.60 and 6,175.60

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Solution

The fourth proportional to 10,068.40, 15,096.60 and 6,175.60 is: 9,259.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,068.40 : 15,096.60 = 6,175.60 : x
  2. Step 2: Convert to fraction form
    10,068.40/15,096.60 = 6,175.60/x
  3. Step 3: Cross multiply
    10,068.40x = 15,096.60 × 6,175.60
  4. Step 4: Simplify right side
    10,068.40x = 93,230,562.96
  5. Step 5: Solve for x
    x = 93,230,562.96/10,068.40
  6. Step 6: Final answer
    x = 9,259.72

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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.