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Finding the Fourth Proportional to 6,466.05, 8,924 and 3,813.71

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Solution

The fourth proportional to 6,466.05, 8,924 and 3,813.71 is: 5,263.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.05 : 8,924 = 3,813.71 : x
  2. Step 2: Convert to fraction form
    6,466.05/8,924 = 3,813.71/x
  3. Step 3: Cross multiply
    6,466.05x = 8,924 × 3,813.71
  4. Step 4: Simplify right side
    6,466.05x = 34,033,548.04
  5. Step 5: Solve for x
    x = 34,033,548.04/6,466.05
  6. Step 6: Final answer
    x = 5,263.42

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1.5x scale

Why These Related Problems?

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