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Finding the Fourth Proportional to 23,800.30, 35,700.70 and 9,756.74

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Solution

The fourth proportional to 23,800.30, 35,700.70 and 9,756.74 is: 14,635.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,800.30 : 35,700.70 = 9,756.74 : x
  2. Step 2: Convert to fraction form
    23,800.30/35,700.70 = 9,756.74/x
  3. Step 3: Cross multiply
    23,800.30x = 35,700.70 × 9,756.74
  4. Step 4: Simplify right side
    23,800.30x = 348,322,447.72
  5. Step 5: Solve for x
    x = 348,322,447.72/23,800.30
  6. Step 6: Final answer
    x = 14,635.21

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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.