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Finding the Fourth Proportional to 4,645.78, 6,411.22 and 2,549.90

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Solution

The fourth proportional to 4,645.78, 6,411.22 and 2,549.90 is: 3,518.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.78 : 6,411.22 = 2,549.90 : x
  2. Step 2: Convert to fraction form
    4,645.78/6,411.22 = 2,549.90/x
  3. Step 3: Cross multiply
    4,645.78x = 6,411.22 × 2,549.90
  4. Step 4: Simplify right side
    4,645.78x = 16,347,969.88
  5. Step 5: Solve for x
    x = 16,347,969.88/4,645.78
  6. Step 6: Final answer
    x = 3,518.89

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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.