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Finding the Fourth Proportional to 6,537, 9,799.02 and 3,068.04

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Solution

The fourth proportional to 6,537, 9,799.02 and 3,068.04 is: 4,599.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537 : 9,799.02 = 3,068.04 : x
  2. Step 2: Convert to fraction form
    6,537/9,799.02 = 3,068.04/x
  3. Step 3: Cross multiply
    6,537x = 9,799.02 × 3,068.04
  4. Step 4: Simplify right side
    6,537x = 30,063,785.32
  5. Step 5: Solve for x
    x = 30,063,785.32/6,537
  6. Step 6: Final answer
    x = 4,599.02

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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.