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Finding the Fourth Proportional to 11,468.46, 15,829.77 and 7,435.14

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Solution

The fourth proportional to 11,468.46, 15,829.77 and 7,435.14 is: 10,262.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.46 : 15,829.77 = 7,435.14 : x
  2. Step 2: Convert to fraction form
    11,468.46/15,829.77 = 7,435.14/x
  3. Step 3: Cross multiply
    11,468.46x = 15,829.77 × 7,435.14
  4. Step 4: Simplify right side
    11,468.46x = 117,696,556.12
  5. Step 5: Solve for x
    x = 117,696,556.12/11,468.46
  6. Step 6: Final answer
    x = 10,262.63

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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.