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Finding the Fourth Proportional to 18,502.32, 27,746.16 and 7,406.94

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Solution

The fourth proportional to 18,502.32, 27,746.16 and 7,406.94 is: 11,107.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,502.32 : 27,746.16 = 7,406.94 : x
  2. Step 2: Convert to fraction form
    18,502.32/27,746.16 = 7,406.94/x
  3. Step 3: Cross multiply
    18,502.32x = 27,746.16 × 7,406.94
  4. Step 4: Simplify right side
    18,502.32x = 205,514,142.35
  5. Step 5: Solve for x
    x = 205,514,142.35/18,502.32
  6. Step 6: Final answer
    x = 11,107.48

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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.