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Finding the Fourth Proportional to 6,898.14, 10,349.55 and 3,005.10

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Solution

The fourth proportional to 6,898.14, 10,349.55 and 3,005.10 is: 4,508.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.14 : 10,349.55 = 3,005.10 : x
  2. Step 2: Convert to fraction form
    6,898.14/10,349.55 = 3,005.10/x
  3. Step 3: Cross multiply
    6,898.14x = 10,349.55 × 3,005.10
  4. Step 4: Simplify right side
    6,898.14x = 31,101,432.71
  5. Step 5: Solve for x
    x = 31,101,432.71/6,898.14
  6. Step 6: Final answer
    x = 4,508.67

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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.