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Finding the Fourth Proportional to 9,472.88, 14,184.46 and 6,684.44

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Solution

The fourth proportional to 9,472.88, 14,184.46 and 6,684.44 is: 10,009.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.88 : 14,184.46 = 6,684.44 : x
  2. Step 2: Convert to fraction form
    9,472.88/14,184.46 = 6,684.44/x
  3. Step 3: Cross multiply
    9,472.88x = 14,184.46 × 6,684.44
  4. Step 4: Simplify right side
    9,472.88x = 94,815,171.80
  5. Step 5: Solve for x
    x = 94,815,171.80/9,472.88
  6. Step 6: Final answer
    x = 10,009.12

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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.