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Finding the Fourth Proportional to 23,844.76, 35,758.74 and 9,800.68

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Solution

The fourth proportional to 23,844.76, 35,758.74 and 9,800.68 is: 14,697.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,844.76 : 35,758.74 = 9,800.68 : x
  2. Step 2: Convert to fraction form
    23,844.76/35,758.74 = 9,800.68/x
  3. Step 3: Cross multiply
    23,844.76x = 35,758.74 × 9,800.68
  4. Step 4: Simplify right side
    23,844.76x = 350,459,967.94
  5. Step 5: Solve for x
    x = 350,459,967.94/23,844.76
  6. Step 6: Final answer
    x = 14,697.57

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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.