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Finding the Fourth Proportional to 6,070.70, 9,105.74 and 1,688.20

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Solution

The fourth proportional to 6,070.70, 9,105.74 and 1,688.20 is: 2,532.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,070.70 : 9,105.74 = 1,688.20 : x
  2. Step 2: Convert to fraction form
    6,070.70/9,105.74 = 1,688.20/x
  3. Step 3: Cross multiply
    6,070.70x = 9,105.74 × 1,688.20
  4. Step 4: Simplify right side
    6,070.70x = 15,372,256.30
  5. Step 5: Solve for x
    x = 15,372,256.30/6,070.70
  6. Step 6: Final answer
    x = 2,532.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.