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Finding the Fourth Proportional to 16,477.88, 24,713.10 and 7,584.68

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Solution

The fourth proportional to 16,477.88, 24,713.10 and 7,584.68 is: 11,375.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.88 : 24,713.10 = 7,584.68 : x
  2. Step 2: Convert to fraction form
    16,477.88/24,713.10 = 7,584.68/x
  3. Step 3: Cross multiply
    16,477.88x = 24,713.10 × 7,584.68
  4. Step 4: Simplify right side
    16,477.88x = 187,440,831.74
  5. Step 5: Solve for x
    x = 187,440,831.74/16,477.88
  6. Step 6: Final answer
    x = 11,375.30

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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.