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Finding the Fourth Proportional to 9,775.56, 13,487.16 and 5,994.84

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Solution

The fourth proportional to 9,775.56, 13,487.16 and 5,994.84 is: 8,270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.56 : 13,487.16 = 5,994.84 : x
  2. Step 2: Convert to fraction form
    9,775.56/13,487.16 = 5,994.84/x
  3. Step 3: Cross multiply
    9,775.56x = 13,487.16 × 5,994.84
  4. Step 4: Simplify right side
    9,775.56x = 80,853,366.25
  5. Step 5: Solve for x
    x = 80,853,366.25/9,775.56
  6. Step 6: Final answer
    x = 8,270.97

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Half scale
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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.