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Finding the Fourth Proportional to 4,902.76, 6,765.24 and 2,913.40

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Solution

The fourth proportional to 4,902.76, 6,765.24 and 2,913.40 is: 4,020.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.76 : 6,765.24 = 2,913.40 : x
  2. Step 2: Convert to fraction form
    4,902.76/6,765.24 = 2,913.40/x
  3. Step 3: Cross multiply
    4,902.76x = 6,765.24 × 2,913.40
  4. Step 4: Simplify right side
    4,902.76x = 19,709,850.22
  5. Step 5: Solve for x
    x = 19,709,850.22/4,902.76
  6. Step 6: Final answer
    x = 4,020.15

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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.