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Finding the Fourth Proportional to 9,236.84, 12,737.14 and 6,089

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Solution

The fourth proportional to 9,236.84, 12,737.14 and 6,089 is: 8,396.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236.84 : 12,737.14 = 6,089 : x
  2. Step 2: Convert to fraction form
    9,236.84/12,737.14 = 6,089/x
  3. Step 3: Cross multiply
    9,236.84x = 12,737.14 × 6,089
  4. Step 4: Simplify right side
    9,236.84x = 77,556,445.46
  5. Step 5: Solve for x
    x = 77,556,445.46/9,236.84
  6. Step 6: Final answer
    x = 8,396.43

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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.