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Finding the Fourth Proportional to 15,225.56, 22,838.08 and 7,825.76

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Solution

The fourth proportional to 15,225.56, 22,838.08 and 7,825.76 is: 11,738.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,225.56 : 22,838.08 = 7,825.76 : x
  2. Step 2: Convert to fraction form
    15,225.56/22,838.08 = 7,825.76/x
  3. Step 3: Cross multiply
    15,225.56x = 22,838.08 × 7,825.76
  4. Step 4: Simplify right side
    15,225.56x = 178,725,332.94
  5. Step 5: Solve for x
    x = 178,725,332.94/15,225.56
  6. Step 6: Final answer
    x = 11,738.51

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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.