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Finding the Fourth Proportional to 6,501.68, 9,753.24 and 2,605.64

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Solution

The fourth proportional to 6,501.68, 9,753.24 and 2,605.64 is: 3,908.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.68 : 9,753.24 = 2,605.64 : x
  2. Step 2: Convert to fraction form
    6,501.68/9,753.24 = 2,605.64/x
  3. Step 3: Cross multiply
    6,501.68x = 9,753.24 × 2,605.64
  4. Step 4: Simplify right side
    6,501.68x = 25,413,432.27
  5. Step 5: Solve for x
    x = 25,413,432.27/6,501.68
  6. Step 6: Final answer
    x = 3,908.75

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1.5x scale

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.