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Finding the Fourth Proportional to 6,898.01, 10,258.83 and 6,824.19

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Solution

The fourth proportional to 6,898.01, 10,258.83 and 6,824.19 is: 10,149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.01 : 10,258.83 = 6,824.19 : x
  2. Step 2: Convert to fraction form
    6,898.01/10,258.83 = 6,824.19/x
  3. Step 3: Cross multiply
    6,898.01x = 10,258.83 × 6,824.19
  4. Step 4: Simplify right side
    6,898.01x = 70,008,205.10
  5. Step 5: Solve for x
    x = 70,008,205.10/6,898.01
  6. Step 6: Final answer
    x = 10,149.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.