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Finding the Fourth Proportional to 6,096.33, 9,156.65 and 5,752.47

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Solution

The fourth proportional to 6,096.33, 9,156.65 and 5,752.47 is: 8,640.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.33 : 9,156.65 = 5,752.47 : x
  2. Step 2: Convert to fraction form
    6,096.33/9,156.65 = 5,752.47/x
  3. Step 3: Cross multiply
    6,096.33x = 9,156.65 × 5,752.47
  4. Step 4: Simplify right side
    6,096.33x = 52,673,325.66
  5. Step 5: Solve for x
    x = 52,673,325.66/6,096.33
  6. Step 6: Final answer
    x = 8,640.17

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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.