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Finding the Fourth Proportional to 9,687.80, 14,533.40 and 5,006.50

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Solution

The fourth proportional to 9,687.80, 14,533.40 and 5,006.50 is: 7,510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.80 : 14,533.40 = 5,006.50 : x
  2. Step 2: Convert to fraction form
    9,687.80/14,533.40 = 5,006.50/x
  3. Step 3: Cross multiply
    9,687.80x = 14,533.40 × 5,006.50
  4. Step 4: Simplify right side
    9,687.80x = 72,761,467.10
  5. Step 5: Solve for x
    x = 72,761,467.10/9,687.80
  6. Step 6: Final answer
    x = 7,510.63

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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.