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Finding the Fourth Proportional to 8,143.64, 11,238.22 and 4,417.64

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Solution

The fourth proportional to 8,143.64, 11,238.22 and 4,417.64 is: 6,096.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.64 : 11,238.22 = 4,417.64 : x
  2. Step 2: Convert to fraction form
    8,143.64/11,238.22 = 4,417.64/x
  3. Step 3: Cross multiply
    8,143.64x = 11,238.22 × 4,417.64
  4. Step 4: Simplify right side
    8,143.64x = 49,646,410.20
  5. Step 5: Solve for x
    x = 49,646,410.20/8,143.64
  6. Step 6: Final answer
    x = 6,096.34

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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.