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Finding the Fourth Proportional to 6,598.99, 9,899.13 and 1,919.04

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Solution

The fourth proportional to 6,598.99, 9,899.13 and 1,919.04 is: 2,878.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.99 : 9,899.13 = 1,919.04 : x
  2. Step 2: Convert to fraction form
    6,598.99/9,899.13 = 1,919.04/x
  3. Step 3: Cross multiply
    6,598.99x = 9,899.13 × 1,919.04
  4. Step 4: Simplify right side
    6,598.99x = 18,996,841.40
  5. Step 5: Solve for x
    x = 18,996,841.40/6,598.99
  6. Step 6: Final answer
    x = 2,878.75

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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.