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Finding the Fourth Proportional to 7,204.91, 9,939.64 and 4,514.48

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Solution

The fourth proportional to 7,204.91, 9,939.64 and 4,514.48 is: 6,228.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.91 : 9,939.64 = 4,514.48 : x
  2. Step 2: Convert to fraction form
    7,204.91/9,939.64 = 4,514.48/x
  3. Step 3: Cross multiply
    7,204.91x = 9,939.64 × 4,514.48
  4. Step 4: Simplify right side
    7,204.91x = 44,872,233.72
  5. Step 5: Solve for x
    x = 44,872,233.72/7,204.91
  6. Step 6: Final answer
    x = 6,228.01

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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.