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Finding the Fourth Proportional to 4,077.63, 5,627.13 and 2,214.63

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Solution

The fourth proportional to 4,077.63, 5,627.13 and 2,214.63 is: 3,056.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.63 : 5,627.13 = 2,214.63 : x
  2. Step 2: Convert to fraction form
    4,077.63/5,627.13 = 2,214.63/x
  3. Step 3: Cross multiply
    4,077.63x = 5,627.13 × 2,214.63
  4. Step 4: Simplify right side
    4,077.63x = 12,462,010.91
  5. Step 5: Solve for x
    x = 12,462,010.91/4,077.63
  6. Step 6: Final answer
    x = 3,056.19

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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.