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Finding the Fourth Proportional to 7,226.48, 9,972.64 and 3,914.48

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Solution

The fourth proportional to 7,226.48, 9,972.64 and 3,914.48 is: 5,402.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.48 : 9,972.64 = 3,914.48 : x
  2. Step 2: Convert to fraction form
    7,226.48/9,972.64 = 3,914.48/x
  3. Step 3: Cross multiply
    7,226.48x = 9,972.64 × 3,914.48
  4. Step 4: Simplify right side
    7,226.48x = 39,037,699.83
  5. Step 5: Solve for x
    x = 39,037,699.83/7,226.48
  6. Step 6: Final answer
    x = 5,402.04

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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.