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Finding the Fourth Proportional to 25,113.92, 37,670.87 and 7,582.82

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Solution

The fourth proportional to 25,113.92, 37,670.87 and 7,582.82 is: 11,374.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,113.92 : 37,670.87 = 7,582.82 : x
  2. Step 2: Convert to fraction form
    25,113.92/37,670.87 = 7,582.82/x
  3. Step 3: Cross multiply
    25,113.92x = 37,670.87 × 7,582.82
  4. Step 4: Simplify right side
    25,113.92x = 285,651,257.06
  5. Step 5: Solve for x
    x = 285,651,257.06/25,113.92
  6. Step 6: Final answer
    x = 11,374.22

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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.