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Finding the Fourth Proportional to 4,776.62, 7,164.62 and 2,841.14

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Solution

The fourth proportional to 4,776.62, 7,164.62 and 2,841.14 is: 4,261.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.62 : 7,164.62 = 2,841.14 : x
  2. Step 2: Convert to fraction form
    4,776.62/7,164.62 = 2,841.14/x
  3. Step 3: Cross multiply
    4,776.62x = 7,164.62 × 2,841.14
  4. Step 4: Simplify right side
    4,776.62x = 20,355,688.47
  5. Step 5: Solve for x
    x = 20,355,688.47/4,776.62
  6. Step 6: Final answer
    x = 4,261.53

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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.