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Finding the Fourth Proportional to 11,159.74, 16,706.68 and 9,775.77

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Solution

The fourth proportional to 11,159.74, 16,706.68 and 9,775.77 is: 14,634.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,159.74 : 16,706.68 = 9,775.77 : x
  2. Step 2: Convert to fraction form
    11,159.74/16,706.68 = 9,775.77/x
  3. Step 3: Cross multiply
    11,159.74x = 16,706.68 × 9,775.77
  4. Step 4: Simplify right side
    11,159.74x = 163,320,661.14
  5. Step 5: Solve for x
    x = 163,320,661.14/11,159.74
  6. Step 6: Final answer
    x = 14,634.81

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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.