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Finding the Fourth Proportional to 24,894.38, 37,341.57 and 7,362.84

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Solution

The fourth proportional to 24,894.38, 37,341.57 and 7,362.84 is: 11,044.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,894.38 : 37,341.57 = 7,362.84 : x
  2. Step 2: Convert to fraction form
    24,894.38/37,341.57 = 7,362.84/x
  3. Step 3: Cross multiply
    24,894.38x = 37,341.57 × 7,362.84
  4. Step 4: Simplify right side
    24,894.38x = 274,940,005.26
  5. Step 5: Solve for x
    x = 274,940,005.26/24,894.38
  6. Step 6: Final answer
    x = 11,044.26

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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.