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Finding the Fourth Proportional to 9,510.60, 14,236 and 6,531.60

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Solution

The fourth proportional to 9,510.60, 14,236 and 6,531.60 is: 9,776.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.60 : 14,236 = 6,531.60 : x
  2. Step 2: Convert to fraction form
    9,510.60/14,236 = 6,531.60/x
  3. Step 3: Cross multiply
    9,510.60x = 14,236 × 6,531.60
  4. Step 4: Simplify right side
    9,510.60x = 92,983,857.60
  5. Step 5: Solve for x
    x = 92,983,857.60/9,510.60
  6. Step 6: Final answer
    x = 9,776.87

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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.