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Finding the Fourth Proportional to 23,829, 35,718.56 and 8,028.57

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Solution

The fourth proportional to 23,829, 35,718.56 and 8,028.57 is: 12,034.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,829 : 35,718.56 = 8,028.57 : x
  2. Step 2: Convert to fraction form
    23,829/35,718.56 = 8,028.57/x
  3. Step 3: Cross multiply
    23,829x = 35,718.56 × 8,028.57
  4. Step 4: Simplify right side
    23,829x = 286,768,919.12
  5. Step 5: Solve for x
    x = 286,768,919.12/23,829
  6. Step 6: Final answer
    x = 12,034.45

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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.