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Finding the Fourth Proportional to 9,687.60, 14,510.74 and 4,682.41

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Solution

The fourth proportional to 9,687.60, 14,510.74 and 4,682.41 is: 7,013.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.60 : 14,510.74 = 4,682.41 : x
  2. Step 2: Convert to fraction form
    9,687.60/14,510.74 = 4,682.41/x
  3. Step 3: Cross multiply
    9,687.60x = 14,510.74 × 4,682.41
  4. Step 4: Simplify right side
    9,687.60x = 67,945,234.08
  5. Step 5: Solve for x
    x = 67,945,234.08/9,687.60
  6. Step 6: Final answer
    x = 7,013.63

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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.