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Finding the Fourth Proportional to 25,224.40, 37,838.40 and 7,694.24

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Solution

The fourth proportional to 25,224.40, 37,838.40 and 7,694.24 is: 11,541.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,224.40 : 37,838.40 = 7,694.24 : x
  2. Step 2: Convert to fraction form
    25,224.40/37,838.40 = 7,694.24/x
  3. Step 3: Cross multiply
    25,224.40x = 37,838.40 × 7,694.24
  4. Step 4: Simplify right side
    25,224.40x = 291,137,730.82
  5. Step 5: Solve for x
    x = 291,137,730.82/25,224.40
  6. Step 6: Final answer
    x = 11,541.91

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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.