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Finding the Fourth Proportional to 4,862.49, 6,709.62 and 3,069.30

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Solution

The fourth proportional to 4,862.49, 6,709.62 and 3,069.30 is: 4,235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.49 : 6,709.62 = 3,069.30 : x
  2. Step 2: Convert to fraction form
    4,862.49/6,709.62 = 3,069.30/x
  3. Step 3: Cross multiply
    4,862.49x = 6,709.62 × 3,069.30
  4. Step 4: Simplify right side
    4,862.49x = 20,593,836.67
  5. Step 5: Solve for x
    x = 20,593,836.67/4,862.49
  6. Step 6: Final answer
    x = 4,235.25

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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.