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Finding the Fourth Proportional to 25,201.73, 37,784.06 and 8,557.29

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Solution

The fourth proportional to 25,201.73, 37,784.06 and 8,557.29 is: 12,829.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,201.73 : 37,784.06 = 8,557.29 : x
  2. Step 2: Convert to fraction form
    25,201.73/37,784.06 = 8,557.29/x
  3. Step 3: Cross multiply
    25,201.73x = 37,784.06 × 8,557.29
  4. Step 4: Simplify right side
    25,201.73x = 323,329,158.80
  5. Step 5: Solve for x
    x = 323,329,158.80/25,201.73
  6. Step 6: Final answer
    x = 12,829.64

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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.