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Finding the Fourth Proportional to 7,242.25, 9,994.35 and 4,099.09

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Solution

The fourth proportional to 7,242.25, 9,994.35 and 4,099.09 is: 5,656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.25 : 9,994.35 = 4,099.09 : x
  2. Step 2: Convert to fraction form
    7,242.25/9,994.35 = 4,099.09/x
  3. Step 3: Cross multiply
    7,242.25x = 9,994.35 × 4,099.09
  4. Step 4: Simplify right side
    7,242.25x = 40,967,740.14
  5. Step 5: Solve for x
    x = 40,967,740.14/7,242.25
  6. Step 6: Final answer
    x = 5,656.77

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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.