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Finding the Fourth Proportional to 25,245, 37,878.24 and 10,464.66

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Solution

The fourth proportional to 25,245, 37,878.24 and 10,464.66 is: 15,701.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,245 : 37,878.24 = 10,464.66 : x
  2. Step 2: Convert to fraction form
    25,245/37,878.24 = 10,464.66/x
  3. Step 3: Cross multiply
    25,245x = 37,878.24 × 10,464.66
  4. Step 4: Simplify right side
    25,245x = 396,382,903.00
  5. Step 5: Solve for x
    x = 396,382,903.00/25,245
  6. Step 6: Final answer
    x = 15,701.44

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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.