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Finding the Fourth Proportional to 11,129, 15,357.42 and 6,092.24

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Solution

The fourth proportional to 11,129, 15,357.42 and 6,092.24 is: 8,406.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,129 : 15,357.42 = 6,092.24 : x
  2. Step 2: Convert to fraction form
    11,129/15,357.42 = 6,092.24/x
  3. Step 3: Cross multiply
    11,129x = 15,357.42 × 6,092.24
  4. Step 4: Simplify right side
    11,129x = 93,561,088.42
  5. Step 5: Solve for x
    x = 93,561,088.42/11,129
  6. Step 6: Final answer
    x = 8,406.96

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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.