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Finding the Fourth Proportional to 7,963, 10,988.42 and 4,426.08

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Solution

The fourth proportional to 7,963, 10,988.42 and 4,426.08 is: 6,107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963 : 10,988.42 = 4,426.08 : x
  2. Step 2: Convert to fraction form
    7,963/10,988.42 = 4,426.08/x
  3. Step 3: Cross multiply
    7,963x = 10,988.42 × 4,426.08
  4. Step 4: Simplify right side
    7,963x = 48,635,625.99
  5. Step 5: Solve for x
    x = 48,635,625.99/7,963
  6. Step 6: Final answer
    x = 6,107.70

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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.