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Finding the Fourth Proportional to 5,363.46, 7,997.63 and 5,005.98

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Solution

The fourth proportional to 5,363.46, 7,997.63 and 5,005.98 is: 7,464.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.46 : 7,997.63 = 5,005.98 : x
  2. Step 2: Convert to fraction form
    5,363.46/7,997.63 = 5,005.98/x
  3. Step 3: Cross multiply
    5,363.46x = 7,997.63 × 5,005.98
  4. Step 4: Simplify right side
    5,363.46x = 40,035,950.80
  5. Step 5: Solve for x
    x = 40,035,950.80/5,363.46
  6. Step 6: Final answer
    x = 7,464.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.