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Finding the Fourth Proportional to 8,464.75, 11,681.16 and 4,687.77

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Solution

The fourth proportional to 8,464.75, 11,681.16 and 4,687.77 is: 6,469.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.75 : 11,681.16 = 4,687.77 : x
  2. Step 2: Convert to fraction form
    8,464.75/11,681.16 = 4,687.77/x
  3. Step 3: Cross multiply
    8,464.75x = 11,681.16 × 4,687.77
  4. Step 4: Simplify right side
    8,464.75x = 54,758,644.01
  5. Step 5: Solve for x
    x = 54,758,644.01/8,464.75
  6. Step 6: Final answer
    x = 6,469.02

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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.