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Finding the Fourth Proportional to 6,466.52, 8,923.48 and 3,813.80

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Solution

The fourth proportional to 6,466.52, 8,923.48 and 3,813.80 is: 5,262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.52 : 8,923.48 = 3,813.80 : x
  2. Step 2: Convert to fraction form
    6,466.52/8,923.48 = 3,813.80/x
  3. Step 3: Cross multiply
    6,466.52x = 8,923.48 × 3,813.80
  4. Step 4: Simplify right side
    6,466.52x = 34,032,368.02
  5. Step 5: Solve for x
    x = 34,032,368.02/6,466.52
  6. Step 6: Final answer
    x = 5,262.86

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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.