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Finding the Fourth Proportional to 8,509.96, 11,742.82 and 4,732.53

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Solution

The fourth proportional to 8,509.96, 11,742.82 and 4,732.53 is: 6,530.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.96 : 11,742.82 = 4,732.53 : x
  2. Step 2: Convert to fraction form
    8,509.96/11,742.82 = 4,732.53/x
  3. Step 3: Cross multiply
    8,509.96x = 11,742.82 × 4,732.53
  4. Step 4: Simplify right side
    8,509.96x = 55,573,247.93
  5. Step 5: Solve for x
    x = 55,573,247.93/8,509.96
  6. Step 6: Final answer
    x = 6,530.38

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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.