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Finding the Fourth Proportional to 6,945.42, 9,583.83 and 5,532.70

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Solution

The fourth proportional to 6,945.42, 9,583.83 and 5,532.70 is: 7,634.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.42 : 9,583.83 = 5,532.70 : x
  2. Step 2: Convert to fraction form
    6,945.42/9,583.83 = 5,532.70/x
  3. Step 3: Cross multiply
    6,945.42x = 9,583.83 × 5,532.70
  4. Step 4: Simplify right side
    6,945.42x = 53,024,456.24
  5. Step 5: Solve for x
    x = 53,024,456.24/6,945.42
  6. Step 6: Final answer
    x = 7,634.45

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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.