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Finding the Fourth Proportional to 4,713.31, 6,503.65 and 2,824.44

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Solution

The fourth proportional to 4,713.31, 6,503.65 and 2,824.44 is: 3,897.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.31 : 6,503.65 = 2,824.44 : x
  2. Step 2: Convert to fraction form
    4,713.31/6,503.65 = 2,824.44/x
  3. Step 3: Cross multiply
    4,713.31x = 6,503.65 × 2,824.44
  4. Step 4: Simplify right side
    4,713.31x = 18,369,169.21
  5. Step 5: Solve for x
    x = 18,369,169.21/4,713.31
  6. Step 6: Final answer
    x = 3,897.30

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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.