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Finding the Fourth Proportional to 11,494, 15,861.74 and 6,526

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Solution

The fourth proportional to 11,494, 15,861.74 and 6,526 is: 9,005.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494 : 15,861.74 = 6,526 : x
  2. Step 2: Convert to fraction form
    11,494/15,861.74 = 6,526/x
  3. Step 3: Cross multiply
    11,494x = 15,861.74 × 6,526
  4. Step 4: Simplify right side
    11,494x = 103,513,715.24
  5. Step 5: Solve for x
    x = 103,513,715.24/11,494
  6. Step 6: Final answer
    x = 9,005.89

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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.