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Finding the Fourth Proportional to 7,337.53, 10,998.01 and 3,642.40

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Solution

The fourth proportional to 7,337.53, 10,998.01 and 3,642.40 is: 5,459.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,337.53 : 10,998.01 = 3,642.40 : x
  2. Step 2: Convert to fraction form
    7,337.53/10,998.01 = 3,642.40/x
  3. Step 3: Cross multiply
    7,337.53x = 10,998.01 × 3,642.40
  4. Step 4: Simplify right side
    7,337.53x = 40,059,151.62
  5. Step 5: Solve for x
    x = 40,059,151.62/7,337.53
  6. Step 6: Final answer
    x = 5,459.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.