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Finding the Fourth Proportional to 11,306, 15,602.76 and 6,338

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Solution

The fourth proportional to 11,306, 15,602.76 and 6,338 is: 8,746.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306 : 15,602.76 = 6,338 : x
  2. Step 2: Convert to fraction form
    11,306/15,602.76 = 6,338/x
  3. Step 3: Cross multiply
    11,306x = 15,602.76 × 6,338
  4. Step 4: Simplify right side
    11,306x = 98,890,292.88
  5. Step 5: Solve for x
    x = 98,890,292.88/11,306
  6. Step 6: Final answer
    x = 8,746.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.