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Finding the Fourth Proportional to 7,242.89, 9,995.34 and 4,410.38

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Solution

The fourth proportional to 7,242.89, 9,995.34 and 4,410.38 is: 6,086.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.89 : 9,995.34 = 4,410.38 : x
  2. Step 2: Convert to fraction form
    7,242.89/9,995.34 = 4,410.38/x
  3. Step 3: Cross multiply
    7,242.89x = 9,995.34 × 4,410.38
  4. Step 4: Simplify right side
    7,242.89x = 44,083,225.58
  5. Step 5: Solve for x
    x = 44,083,225.58/7,242.89
  6. Step 6: Final answer
    x = 6,086.42

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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.