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Finding the Fourth Proportional to 6,383.16, 9,587.04 and 5,404.48

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Solution

The fourth proportional to 6,383.16, 9,587.04 and 5,404.48 is: 8,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.16 : 9,587.04 = 5,404.48 : x
  2. Step 2: Convert to fraction form
    6,383.16/9,587.04 = 5,404.48/x
  3. Step 3: Cross multiply
    6,383.16x = 9,587.04 × 5,404.48
  4. Step 4: Simplify right side
    6,383.16x = 51,812,965.94
  5. Step 5: Solve for x
    x = 51,812,965.94/6,383.16
  6. Step 6: Final answer
    x = 8,117.13

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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.