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Finding the Fourth Proportional to 6,532.76, 9,800.58 and 2,150.03

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Solution

The fourth proportional to 6,532.76, 9,800.58 and 2,150.03 is: 3,225.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.76 : 9,800.58 = 2,150.03 : x
  2. Step 2: Convert to fraction form
    6,532.76/9,800.58 = 2,150.03/x
  3. Step 3: Cross multiply
    6,532.76x = 9,800.58 × 2,150.03
  4. Step 4: Simplify right side
    6,532.76x = 21,071,541.02
  5. Step 5: Solve for x
    x = 21,071,541.02/6,532.76
  6. Step 6: Final answer
    x = 3,225.52

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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.