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Finding the Fourth Proportional to 7,297.64, 10,945.14 and 2,366.60

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Solution

The fourth proportional to 7,297.64, 10,945.14 and 2,366.60 is: 3,549.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.64 : 10,945.14 = 2,366.60 : x
  2. Step 2: Convert to fraction form
    7,297.64/10,945.14 = 2,366.60/x
  3. Step 3: Cross multiply
    7,297.64x = 10,945.14 × 2,366.60
  4. Step 4: Simplify right side
    7,297.64x = 25,902,768.32
  5. Step 5: Solve for x
    x = 25,902,768.32/7,297.64
  6. Step 6: Final answer
    x = 3,549.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.