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Finding the Fourth Proportional to 7,092.54, 9,777.63 and 5,102.46

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Solution

The fourth proportional to 7,092.54, 9,777.63 and 5,102.46 is: 7,034.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.54 : 9,777.63 = 5,102.46 : x
  2. Step 2: Convert to fraction form
    7,092.54/9,777.63 = 5,102.46/x
  3. Step 3: Cross multiply
    7,092.54x = 9,777.63 × 5,102.46
  4. Step 4: Simplify right side
    7,092.54x = 49,889,965.97
  5. Step 5: Solve for x
    x = 49,889,965.97/7,092.54
  6. Step 6: Final answer
    x = 7,034.15

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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.