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Finding the Fourth Proportional to 4,196.84, 6,295.84 and 1,275.36

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Solution

The fourth proportional to 4,196.84, 6,295.84 and 1,275.36 is: 1,913.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.84 : 6,295.84 = 1,275.36 : x
  2. Step 2: Convert to fraction form
    4,196.84/6,295.84 = 1,275.36/x
  3. Step 3: Cross multiply
    4,196.84x = 6,295.84 × 1,275.36
  4. Step 4: Simplify right side
    4,196.84x = 8,029,462.50
  5. Step 5: Solve for x
    x = 8,029,462.50/4,196.84
  6. Step 6: Final answer
    x = 1,913.22

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1.5x scale

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.