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Finding the Fourth Proportional to 9,839.64, 13,578.62 and 5,363.39

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Solution

The fourth proportional to 9,839.64, 13,578.62 and 5,363.39 is: 7,401.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.64 : 13,578.62 = 5,363.39 : x
  2. Step 2: Convert to fraction form
    9,839.64/13,578.62 = 5,363.39/x
  3. Step 3: Cross multiply
    9,839.64x = 13,578.62 × 5,363.39
  4. Step 4: Simplify right side
    9,839.64x = 72,827,482.08
  5. Step 5: Solve for x
    x = 72,827,482.08/9,839.64
  6. Step 6: Final answer
    x = 7,401.44

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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.