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Finding the Fourth Proportional to 7,394.79, 10,202.13 and 5,693.82

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Solution

The fourth proportional to 7,394.79, 10,202.13 and 5,693.82 is: 7,855.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,394.79 : 10,202.13 = 5,693.82 : x
  2. Step 2: Convert to fraction form
    7,394.79/10,202.13 = 5,693.82/x
  3. Step 3: Cross multiply
    7,394.79x = 10,202.13 × 5,693.82
  4. Step 4: Simplify right side
    7,394.79x = 58,089,091.84
  5. Step 5: Solve for x
    x = 58,089,091.84/7,394.79
  6. Step 6: Final answer
    x = 7,855.41

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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.