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Finding the Fourth Proportional to 6,344.12, 8,754.88 and 3,549.64

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Solution

The fourth proportional to 6,344.12, 8,754.88 and 3,549.64 is: 4,898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.12 : 8,754.88 = 3,549.64 : x
  2. Step 2: Convert to fraction form
    6,344.12/8,754.88 = 3,549.64/x
  3. Step 3: Cross multiply
    6,344.12x = 8,754.88 × 3,549.64
  4. Step 4: Simplify right side
    6,344.12x = 31,076,672.24
  5. Step 5: Solve for x
    x = 31,076,672.24/6,344.12
  6. Step 6: Final answer
    x = 4,898.50

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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.