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Finding the Fourth Proportional to 6,676.29, 10,017.81 and 4,598.01

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Solution

The fourth proportional to 6,676.29, 10,017.81 and 4,598.01 is: 6,899.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.29 : 10,017.81 = 4,598.01 : x
  2. Step 2: Convert to fraction form
    6,676.29/10,017.81 = 4,598.01/x
  3. Step 3: Cross multiply
    6,676.29x = 10,017.81 × 4,598.01
  4. Step 4: Simplify right side
    6,676.29x = 46,061,990.56
  5. Step 5: Solve for x
    x = 46,061,990.56/6,676.29
  6. Step 6: Final answer
    x = 6,899.34

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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.