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Finding the Fourth Proportional to 11,470.91, 17,194.74 and 7,773.51

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Solution

The fourth proportional to 11,470.91, 17,194.74 and 7,773.51 is: 11,652.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.91 : 17,194.74 = 7,773.51 : x
  2. Step 2: Convert to fraction form
    11,470.91/17,194.74 = 7,773.51/x
  3. Step 3: Cross multiply
    11,470.91x = 17,194.74 × 7,773.51
  4. Step 4: Simplify right side
    11,470.91x = 133,663,483.34
  5. Step 5: Solve for x
    x = 133,663,483.34/11,470.91
  6. Step 6: Final answer
    x = 11,652.39

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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.