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Finding the Fourth Proportional to 3,535, 4,878.30 and 1,963.42

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Solution

The fourth proportional to 3,535, 4,878.30 and 1,963.42 is: 2,709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535 : 4,878.30 = 1,963.42 : x
  2. Step 2: Convert to fraction form
    3,535/4,878.30 = 1,963.42/x
  3. Step 3: Cross multiply
    3,535x = 4,878.30 × 1,963.42
  4. Step 4: Simplify right side
    3,535x = 9,578,151.79
  5. Step 5: Solve for x
    x = 9,578,151.79/3,535
  6. Step 6: Final answer
    x = 2,709.52

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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.