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Finding the Fourth Proportional to 6,529.96, 9,775.50 and 6,296.68

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Solution

The fourth proportional to 6,529.96, 9,775.50 and 6,296.68 is: 9,426.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.96 : 9,775.50 = 6,296.68 : x
  2. Step 2: Convert to fraction form
    6,529.96/9,775.50 = 6,296.68/x
  3. Step 3: Cross multiply
    6,529.96x = 9,775.50 × 6,296.68
  4. Step 4: Simplify right side
    6,529.96x = 61,553,195.34
  5. Step 5: Solve for x
    x = 61,553,195.34/6,529.96
  6. Step 6: Final answer
    x = 9,426.27

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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.