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Finding the Fourth Proportional to 9,685.43, 14,491.47 and 5,738.81

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Solution

The fourth proportional to 9,685.43, 14,491.47 and 5,738.81 is: 8,586.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.43 : 14,491.47 = 5,738.81 : x
  2. Step 2: Convert to fraction form
    9,685.43/14,491.47 = 5,738.81/x
  3. Step 3: Cross multiply
    9,685.43x = 14,491.47 × 5,738.81
  4. Step 4: Simplify right side
    9,685.43x = 83,163,720.49
  5. Step 5: Solve for x
    x = 83,163,720.49/9,685.43
  6. Step 6: Final answer
    x = 8,586.48

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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.