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Finding the Fourth Proportional to 11,092.63, 15,310.42 and 7,316.47

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Solution

The fourth proportional to 11,092.63, 15,310.42 and 7,316.47 is: 10,098.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,092.63 : 15,310.42 = 7,316.47 : x
  2. Step 2: Convert to fraction form
    11,092.63/15,310.42 = 7,316.47/x
  3. Step 3: Cross multiply
    11,092.63x = 15,310.42 × 7,316.47
  4. Step 4: Simplify right side
    11,092.63x = 112,018,228.62
  5. Step 5: Solve for x
    x = 112,018,228.62/11,092.63
  6. Step 6: Final answer
    x = 10,098.44

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1.5x scale

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.