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Finding the Fourth Proportional to 6,335.40, 9,503.36 and 1,893

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Solution

The fourth proportional to 6,335.40, 9,503.36 and 1,893 is: 2,839.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.40 : 9,503.36 = 1,893 : x
  2. Step 2: Convert to fraction form
    6,335.40/9,503.36 = 1,893/x
  3. Step 3: Cross multiply
    6,335.40x = 9,503.36 × 1,893
  4. Step 4: Simplify right side
    6,335.40x = 17,989,860.48
  5. Step 5: Solve for x
    x = 17,989,860.48/6,335.40
  6. Step 6: Final answer
    x = 2,839.58

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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.