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Finding the Fourth Proportional to 9,811.28, 13,532.74 and 6,453.04

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Solution

The fourth proportional to 9,811.28, 13,532.74 and 6,453.04 is: 8,900.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.28 : 13,532.74 = 6,453.04 : x
  2. Step 2: Convert to fraction form
    9,811.28/13,532.74 = 6,453.04/x
  3. Step 3: Cross multiply
    9,811.28x = 13,532.74 × 6,453.04
  4. Step 4: Simplify right side
    9,811.28x = 87,327,312.53
  5. Step 5: Solve for x
    x = 87,327,312.53/9,811.28
  6. Step 6: Final answer
    x = 8,900.71

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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.