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Finding the Fourth Proportional to 10,774.74, 14,835.39 and 9,790.56

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Solution

The fourth proportional to 10,774.74, 14,835.39 and 9,790.56 is: 13,480.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.74 : 14,835.39 = 9,790.56 : x
  2. Step 2: Convert to fraction form
    10,774.74/14,835.39 = 9,790.56/x
  3. Step 3: Cross multiply
    10,774.74x = 14,835.39 × 9,790.56
  4. Step 4: Simplify right side
    10,774.74x = 145,246,775.92
  5. Step 5: Solve for x
    x = 145,246,775.92/10,774.74
  6. Step 6: Final answer
    x = 13,480.30

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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.