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Finding the Fourth Proportional to 9,637.53, 13,299.74 and 5,221.53

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Solution

The fourth proportional to 9,637.53, 13,299.74 and 5,221.53 is: 7,205.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.53 : 13,299.74 = 5,221.53 : x
  2. Step 2: Convert to fraction form
    9,637.53/13,299.74 = 5,221.53/x
  3. Step 3: Cross multiply
    9,637.53x = 13,299.74 × 5,221.53
  4. Step 4: Simplify right side
    9,637.53x = 69,444,965.29
  5. Step 5: Solve for x
    x = 69,444,965.29/9,637.53
  6. Step 6: Final answer
    x = 7,205.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.