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Finding the Fourth Proportional to 6,361.52, 9,526.80 and 4,503.80

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Solution

The fourth proportional to 6,361.52, 9,526.80 and 4,503.80 is: 6,744.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.52 : 9,526.80 = 4,503.80 : x
  2. Step 2: Convert to fraction form
    6,361.52/9,526.80 = 4,503.80/x
  3. Step 3: Cross multiply
    6,361.52x = 9,526.80 × 4,503.80
  4. Step 4: Simplify right side
    6,361.52x = 42,906,801.84
  5. Step 5: Solve for x
    x = 42,906,801.84/6,361.52
  6. Step 6: Final answer
    x = 6,744.74

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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.