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Finding the Fourth Proportional to 8,533.59, 11,770.25 and 6,940.28

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Solution

The fourth proportional to 8,533.59, 11,770.25 and 6,940.28 is: 9,572.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.59 : 11,770.25 = 6,940.28 : x
  2. Step 2: Convert to fraction form
    8,533.59/11,770.25 = 6,940.28/x
  3. Step 3: Cross multiply
    8,533.59x = 11,770.25 × 6,940.28
  4. Step 4: Simplify right side
    8,533.59x = 81,688,825.39
  5. Step 5: Solve for x
    x = 81,688,825.39/8,533.59
  6. Step 6: Final answer
    x = 9,572.63

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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.