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Finding the Fourth Proportional to 20,537.46, 30,810 and 6,501.02

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Solution

The fourth proportional to 20,537.46, 30,810 and 6,501.02 is: 9,752.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,537.46 : 30,810 = 6,501.02 : x
  2. Step 2: Convert to fraction form
    20,537.46/30,810 = 6,501.02/x
  3. Step 3: Cross multiply
    20,537.46x = 30,810 × 6,501.02
  4. Step 4: Simplify right side
    20,537.46x = 200,296,426.20
  5. Step 5: Solve for x
    x = 200,296,426.20/20,537.46
  6. Step 6: Final answer
    x = 9,752.74

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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.