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Finding the Fourth Proportional to 8,686.64, 11,991.75 and 6,174.02

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Solution

The fourth proportional to 8,686.64, 11,991.75 and 6,174.02 is: 8,523.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.64 : 11,991.75 = 6,174.02 : x
  2. Step 2: Convert to fraction form
    8,686.64/11,991.75 = 6,174.02/x
  3. Step 3: Cross multiply
    8,686.64x = 11,991.75 × 6,174.02
  4. Step 4: Simplify right side
    8,686.64x = 74,037,311.16
  5. Step 5: Solve for x
    x = 74,037,311.16/8,686.64
  6. Step 6: Final answer
    x = 8,523.12

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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.