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Finding the Fourth Proportional to 12,737.91, 17,586.89 and 9,748.41

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Solution

The fourth proportional to 12,737.91, 17,586.89 and 9,748.41 is: 13,459.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,737.91 : 17,586.89 = 9,748.41 : x
  2. Step 2: Convert to fraction form
    12,737.91/17,586.89 = 9,748.41/x
  3. Step 3: Cross multiply
    12,737.91x = 17,586.89 × 9,748.41
  4. Step 4: Simplify right side
    12,737.91x = 171,444,214.34
  5. Step 5: Solve for x
    x = 171,444,214.34/12,737.91
  6. Step 6: Final answer
    x = 13,459.37

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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.