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Finding the Fourth Proportional to 7,177.56, 9,902.29 and 5,293.63

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Solution

The fourth proportional to 7,177.56, 9,902.29 and 5,293.63 is: 7,303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.56 : 9,902.29 = 5,293.63 : x
  2. Step 2: Convert to fraction form
    7,177.56/9,902.29 = 5,293.63/x
  3. Step 3: Cross multiply
    7,177.56x = 9,902.29 × 5,293.63
  4. Step 4: Simplify right side
    7,177.56x = 52,419,059.41
  5. Step 5: Solve for x
    x = 52,419,059.41/7,177.56
  6. Step 6: Final answer
    x = 7,303.19

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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.