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Finding the Fourth Proportional to 6,107, 9,134.80 and 5,663.84

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Solution

The fourth proportional to 6,107, 9,134.80 and 5,663.84 is: 8,471.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107 : 9,134.80 = 5,663.84 : x
  2. Step 2: Convert to fraction form
    6,107/9,134.80 = 5,663.84/x
  3. Step 3: Cross multiply
    6,107x = 9,134.80 × 5,663.84
  4. Step 4: Simplify right side
    6,107x = 51,738,045.63
  5. Step 5: Solve for x
    x = 51,738,045.63/6,107
  6. Step 6: Final answer
    x = 8,471.92

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1.5x scale

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.