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Finding the Fourth Proportional to 7,164.86, 9,887.30 and 3,977.98

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Solution

The fourth proportional to 7,164.86, 9,887.30 and 3,977.98 is: 5,489.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.86 : 9,887.30 = 3,977.98 : x
  2. Step 2: Convert to fraction form
    7,164.86/9,887.30 = 3,977.98/x
  3. Step 3: Cross multiply
    7,164.86x = 9,887.30 × 3,977.98
  4. Step 4: Simplify right side
    7,164.86x = 39,331,451.96
  5. Step 5: Solve for x
    x = 39,331,451.96/7,164.86
  6. Step 6: Final answer
    x = 5,489.50

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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.