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Finding the Fourth Proportional to 7,365.74, 10,165 and 4,222.54

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Solution

The fourth proportional to 7,365.74, 10,165 and 4,222.54 is: 5,827.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,365.74 : 10,165 = 4,222.54 : x
  2. Step 2: Convert to fraction form
    7,365.74/10,165 = 4,222.54/x
  3. Step 3: Cross multiply
    7,365.74x = 10,165 × 4,222.54
  4. Step 4: Simplify right side
    7,365.74x = 42,922,119.10
  5. Step 5: Solve for x
    x = 42,922,119.10/7,365.74
  6. Step 6: Final answer
    x = 5,827.27

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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.