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Finding the Fourth Proportional to 9,997.46, 14,986.52 and 6,711.42

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Solution

The fourth proportional to 9,997.46, 14,986.52 and 6,711.42 is: 10,060.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.46 : 14,986.52 = 6,711.42 : x
  2. Step 2: Convert to fraction form
    9,997.46/14,986.52 = 6,711.42/x
  3. Step 3: Cross multiply
    9,997.46x = 14,986.52 × 6,711.42
  4. Step 4: Simplify right side
    9,997.46x = 100,580,830.06
  5. Step 5: Solve for x
    x = 100,580,830.06/9,997.46
  6. Step 6: Final answer
    x = 10,060.64

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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.