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Finding the Fourth Proportional to 7,184.43, 9,913.93 and 3,997.49

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Solution

The fourth proportional to 7,184.43, 9,913.93 and 3,997.49 is: 5,516.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.43 : 9,913.93 = 3,997.49 : x
  2. Step 2: Convert to fraction form
    7,184.43/9,913.93 = 3,997.49/x
  3. Step 3: Cross multiply
    7,184.43x = 9,913.93 × 3,997.49
  4. Step 4: Simplify right side
    7,184.43x = 39,630,776.47
  5. Step 5: Solve for x
    x = 39,630,776.47/7,184.43
  6. Step 6: Final answer
    x = 5,516.20

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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.