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Finding the Fourth Proportional to 4,616.49, 6,913.14 and 2,854.25

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Solution

The fourth proportional to 4,616.49, 6,913.14 and 2,854.25 is: 4,274.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.49 : 6,913.14 = 2,854.25 : x
  2. Step 2: Convert to fraction form
    4,616.49/6,913.14 = 2,854.25/x
  3. Step 3: Cross multiply
    4,616.49x = 6,913.14 × 2,854.25
  4. Step 4: Simplify right side
    4,616.49x = 19,731,795.28
  5. Step 5: Solve for x
    x = 19,731,795.28/4,616.49
  6. Step 6: Final answer
    x = 4,274.20

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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.