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Finding the Fourth Proportional to 9,716.54, 14,563.76 and 8,544.24

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Solution

The fourth proportional to 9,716.54, 14,563.76 and 8,544.24 is: 12,806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.54 : 14,563.76 = 8,544.24 : x
  2. Step 2: Convert to fraction form
    9,716.54/14,563.76 = 8,544.24/x
  3. Step 3: Cross multiply
    9,716.54x = 14,563.76 × 8,544.24
  4. Step 4: Simplify right side
    9,716.54x = 124,436,218.02
  5. Step 5: Solve for x
    x = 124,436,218.02/9,716.54
  6. Step 6: Final answer
    x = 12,806.65

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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.