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Finding the Fourth Proportional to 7,177.41, 9,902.06 and 5,293.46

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Solution

The fourth proportional to 7,177.41, 9,902.06 and 5,293.46 is: 7,302.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.41 : 9,902.06 = 5,293.46 : x
  2. Step 2: Convert to fraction form
    7,177.41/9,902.06 = 5,293.46/x
  3. Step 3: Cross multiply
    7,177.41x = 9,902.06 × 5,293.46
  4. Step 4: Simplify right side
    7,177.41x = 52,416,135.37
  5. Step 5: Solve for x
    x = 52,416,135.37/7,177.41
  6. Step 6: Final answer
    x = 7,302.93

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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.