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Finding the Fourth Proportional to 7,294.64, 10,066.42 and 4,150.64

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Solution

The fourth proportional to 7,294.64, 10,066.42 and 4,150.64 is: 5,727.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.64 : 10,066.42 = 4,150.64 : x
  2. Step 2: Convert to fraction form
    7,294.64/10,066.42 = 4,150.64/x
  3. Step 3: Cross multiply
    7,294.64x = 10,066.42 × 4,150.64
  4. Step 4: Simplify right side
    7,294.64x = 41,782,085.51
  5. Step 5: Solve for x
    x = 41,782,085.51/7,294.64
  6. Step 6: Final answer
    x = 5,727.78

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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.