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Finding the Fourth Proportional to 10,223.76, 15,335.28 and 6,222

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Solution

The fourth proportional to 10,223.76, 15,335.28 and 6,222 is: 9,332.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.76 : 15,335.28 = 6,222 : x
  2. Step 2: Convert to fraction form
    10,223.76/15,335.28 = 6,222/x
  3. Step 3: Cross multiply
    10,223.76x = 15,335.28 × 6,222
  4. Step 4: Simplify right side
    10,223.76x = 95,416,112.16
  5. Step 5: Solve for x
    x = 95,416,112.16/10,223.76
  6. Step 6: Final answer
    x = 9,332.78

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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.