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Finding the Fourth Proportional to 6,685.76, 10,031 and 4,473.44

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Solution

The fourth proportional to 6,685.76, 10,031 and 4,473.44 is: 6,711.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.76 : 10,031 = 4,473.44 : x
  2. Step 2: Convert to fraction form
    6,685.76/10,031 = 4,473.44/x
  3. Step 3: Cross multiply
    6,685.76x = 10,031 × 4,473.44
  4. Step 4: Simplify right side
    6,685.76x = 44,873,076.64
  5. Step 5: Solve for x
    x = 44,873,076.64/6,685.76
  6. Step 6: Final answer
    x = 6,711.74

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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.