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Finding the Fourth Proportional to 23,733.84, 35,600.76 and 9,700.47

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Solution

The fourth proportional to 23,733.84, 35,600.76 and 9,700.47 is: 14,550.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,733.84 : 35,600.76 = 9,700.47 : x
  2. Step 2: Convert to fraction form
    23,733.84/35,600.76 = 9,700.47/x
  3. Step 3: Cross multiply
    23,733.84x = 35,600.76 × 9,700.47
  4. Step 4: Simplify right side
    23,733.84x = 345,344,104.36
  5. Step 5: Solve for x
    x = 345,344,104.36/23,733.84
  6. Step 6: Final answer
    x = 14,550.71

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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.