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Finding the Fourth Proportional to 6,506.68, 9,756.29 and 2,002.57

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Solution

The fourth proportional to 6,506.68, 9,756.29 and 2,002.57 is: 3,002.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.68 : 9,756.29 = 2,002.57 : x
  2. Step 2: Convert to fraction form
    6,506.68/9,756.29 = 2,002.57/x
  3. Step 3: Cross multiply
    6,506.68x = 9,756.29 × 2,002.57
  4. Step 4: Simplify right side
    6,506.68x = 19,537,594.87
  5. Step 5: Solve for x
    x = 19,537,594.87/6,506.68
  6. Step 6: Final answer
    x = 3,002.70

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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.