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Finding the Fourth Proportional to 11,348, 17,007.62 and 5,101.34

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Solution

The fourth proportional to 11,348, 17,007.62 and 5,101.34 is: 7,645.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,348 : 17,007.62 = 5,101.34 : x
  2. Step 2: Convert to fraction form
    11,348/17,007.62 = 5,101.34/x
  3. Step 3: Cross multiply
    11,348x = 17,007.62 × 5,101.34
  4. Step 4: Simplify right side
    11,348x = 86,761,652.21
  5. Step 5: Solve for x
    x = 86,761,652.21/11,348
  6. Step 6: Final answer
    x = 7,645.55

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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.