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Finding the Fourth Proportional to 9,497.99, 14,251.68 and 4,571.78

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Solution

The fourth proportional to 9,497.99, 14,251.68 and 4,571.78 is: 6,859.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.99 : 14,251.68 = 4,571.78 : x
  2. Step 2: Convert to fraction form
    9,497.99/14,251.68 = 4,571.78/x
  3. Step 3: Cross multiply
    9,497.99x = 14,251.68 × 4,571.78
  4. Step 4: Simplify right side
    9,497.99x = 65,155,474.33
  5. Step 5: Solve for x
    x = 65,155,474.33/9,497.99
  6. Step 6: Final answer
    x = 6,859.92

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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.