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Finding the Fourth Proportional to 11,774.41, 16,237.50 and 7,734.08

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Solution

The fourth proportional to 11,774.41, 16,237.50 and 7,734.08 is: 10,665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.41 : 16,237.50 = 7,734.08 : x
  2. Step 2: Convert to fraction form
    11,774.41/16,237.50 = 7,734.08/x
  3. Step 3: Cross multiply
    11,774.41x = 16,237.50 × 7,734.08
  4. Step 4: Simplify right side
    11,774.41x = 125,582,004.14
  5. Step 5: Solve for x
    x = 125,582,004.14/11,774.41
  6. Step 6: Final answer
    x = 10,665.68

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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.