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Finding the Fourth Proportional to 4,659.64, 6,993.58 and 4,165.24

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Solution

The fourth proportional to 4,659.64, 6,993.58 and 4,165.24 is: 6,251.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.64 : 6,993.58 = 4,165.24 : x
  2. Step 2: Convert to fraction form
    4,659.64/6,993.58 = 4,165.24/x
  3. Step 3: Cross multiply
    4,659.64x = 6,993.58 × 4,165.24
  4. Step 4: Simplify right side
    4,659.64x = 29,129,939.16
  5. Step 5: Solve for x
    x = 29,129,939.16/4,659.64
  6. Step 6: Final answer
    x = 6,251.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.