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Finding the Fourth Proportional to 6,203.64, 9,305.44 and 1,523.66

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Solution

The fourth proportional to 6,203.64, 9,305.44 and 1,523.66 is: 2,285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.64 : 9,305.44 = 1,523.66 : x
  2. Step 2: Convert to fraction form
    6,203.64/9,305.44 = 1,523.66/x
  3. Step 3: Cross multiply
    6,203.64x = 9,305.44 × 1,523.66
  4. Step 4: Simplify right side
    6,203.64x = 14,178,326.71
  5. Step 5: Solve for x
    x = 14,178,326.71/6,203.64
  6. Step 6: Final answer
    x = 2,285.49

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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.