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Finding the Fourth Proportional to 6,586.38, 9,868.61 and 4,634.49

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Solution

The fourth proportional to 6,586.38, 9,868.61 and 4,634.49 is: 6,944.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.38 : 9,868.61 = 4,634.49 : x
  2. Step 2: Convert to fraction form
    6,586.38/9,868.61 = 4,634.49/x
  3. Step 3: Cross multiply
    6,586.38x = 9,868.61 × 4,634.49
  4. Step 4: Simplify right side
    6,586.38x = 45,735,901.84
  5. Step 5: Solve for x
    x = 45,735,901.84/6,586.38
  6. Step 6: Final answer
    x = 6,944.01

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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.