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Finding the Fourth Proportional to 6,532.30, 9,800.88 and 3,024.01

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Solution

The fourth proportional to 6,532.30, 9,800.88 and 3,024.01 is: 4,537.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.30 : 9,800.88 = 3,024.01 : x
  2. Step 2: Convert to fraction form
    6,532.30/9,800.88 = 3,024.01/x
  3. Step 3: Cross multiply
    6,532.30x = 9,800.88 × 3,024.01
  4. Step 4: Simplify right side
    6,532.30x = 29,637,959.13
  5. Step 5: Solve for x
    x = 29,637,959.13/6,532.30
  6. Step 6: Final answer
    x = 4,537.14

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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.