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Finding the Fourth Proportional to 25,182.74, 37,766.38 and 8,312.64

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Solution

The fourth proportional to 25,182.74, 37,766.38 and 8,312.64 is: 12,466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,182.74 : 37,766.38 = 8,312.64 : x
  2. Step 2: Convert to fraction form
    25,182.74/37,766.38 = 8,312.64/x
  3. Step 3: Cross multiply
    25,182.74x = 37,766.38 × 8,312.64
  4. Step 4: Simplify right side
    25,182.74x = 313,938,321.04
  5. Step 5: Solve for x
    x = 313,938,321.04/25,182.74
  6. Step 6: Final answer
    x = 12,466.41

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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.