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Finding the Fourth Proportional to 6,688.68, 10,033.64 and 1,758.34

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Solution

The fourth proportional to 6,688.68, 10,033.64 and 1,758.34 is: 2,637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.68 : 10,033.64 = 1,758.34 : x
  2. Step 2: Convert to fraction form
    6,688.68/10,033.64 = 1,758.34/x
  3. Step 3: Cross multiply
    6,688.68x = 10,033.64 × 1,758.34
  4. Step 4: Simplify right side
    6,688.68x = 17,642,560.90
  5. Step 5: Solve for x
    x = 17,642,560.90/6,688.68
  6. Step 6: Final answer
    x = 2,637.68

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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.