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Finding the Fourth Proportional to 9,697.41, 14,532.98 and 5,020.70

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Solution

The fourth proportional to 9,697.41, 14,532.98 and 5,020.70 is: 7,524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.41 : 14,532.98 = 5,020.70 : x
  2. Step 2: Convert to fraction form
    9,697.41/14,532.98 = 5,020.70/x
  3. Step 3: Cross multiply
    9,697.41x = 14,532.98 × 5,020.70
  4. Step 4: Simplify right side
    9,697.41x = 72,965,634.92
  5. Step 5: Solve for x
    x = 72,965,634.92/9,697.41
  6. Step 6: Final answer
    x = 7,524.24

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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.