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Finding the Fourth Proportional to 6,445, 8,898.39 and 4,950.25

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Solution

The fourth proportional to 6,445, 8,898.39 and 4,950.25 is: 6,834.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445 : 8,898.39 = 4,950.25 : x
  2. Step 2: Convert to fraction form
    6,445/8,898.39 = 4,950.25/x
  3. Step 3: Cross multiply
    6,445x = 8,898.39 × 4,950.25
  4. Step 4: Simplify right side
    6,445x = 44,049,255.10
  5. Step 5: Solve for x
    x = 44,049,255.10/6,445
  6. Step 6: Final answer
    x = 6,834.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.