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Finding the Fourth Proportional to 6,096.51, 9,142.95 and 2,586.47

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Solution

The fourth proportional to 6,096.51, 9,142.95 and 2,586.47 is: 3,878.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.51 : 9,142.95 = 2,586.47 : x
  2. Step 2: Convert to fraction form
    6,096.51/9,142.95 = 2,586.47/x
  3. Step 3: Cross multiply
    6,096.51x = 9,142.95 × 2,586.47
  4. Step 4: Simplify right side
    6,096.51x = 23,647,920.17
  5. Step 5: Solve for x
    x = 23,647,920.17/6,096.51
  6. Step 6: Final answer
    x = 3,878.93

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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.