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Finding the Fourth Proportional to 8,509.73, 11,742.53 and 4,732.28

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Solution

The fourth proportional to 8,509.73, 11,742.53 and 4,732.28 is: 6,530.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.73 : 11,742.53 = 4,732.28 : x
  2. Step 2: Convert to fraction form
    8,509.73/11,742.53 = 4,732.28/x
  3. Step 3: Cross multiply
    8,509.73x = 11,742.53 × 4,732.28
  4. Step 4: Simplify right side
    8,509.73x = 55,568,901.53
  5. Step 5: Solve for x
    x = 55,568,901.53/8,509.73
  6. Step 6: Final answer
    x = 6,530.05

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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.