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Finding the Fourth Proportional to 10,770.56, 14,859.13 and 7,944.74

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Solution

The fourth proportional to 10,770.56, 14,859.13 and 7,944.74 is: 10,960.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.56 : 14,859.13 = 7,944.74 : x
  2. Step 2: Convert to fraction form
    10,770.56/14,859.13 = 7,944.74/x
  3. Step 3: Cross multiply
    10,770.56x = 14,859.13 × 7,944.74
  4. Step 4: Simplify right side
    10,770.56x = 118,051,810.46
  5. Step 5: Solve for x
    x = 118,051,810.46/10,770.56
  6. Step 6: Final answer
    x = 10,960.61

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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.