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Finding the Fourth Proportional to 8,381.64, 11,567.16 and 4,846.08

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Solution

The fourth proportional to 8,381.64, 11,567.16 and 4,846.08 is: 6,687.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.64 : 11,567.16 = 4,846.08 : x
  2. Step 2: Convert to fraction form
    8,381.64/11,567.16 = 4,846.08/x
  3. Step 3: Cross multiply
    8,381.64x = 11,567.16 × 4,846.08
  4. Step 4: Simplify right side
    8,381.64x = 56,055,382.73
  5. Step 5: Solve for x
    x = 56,055,382.73/8,381.64
  6. Step 6: Final answer
    x = 6,687.88

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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.