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Finding the Fourth Proportional to 6,201.32, 9,302.12 and 4,965.64

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Solution

The fourth proportional to 6,201.32, 9,302.12 and 4,965.64 is: 7,448.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.32 : 9,302.12 = 4,965.64 : x
  2. Step 2: Convert to fraction form
    6,201.32/9,302.12 = 4,965.64/x
  3. Step 3: Cross multiply
    6,201.32x = 9,302.12 × 4,965.64
  4. Step 4: Simplify right side
    6,201.32x = 46,190,979.16
  5. Step 5: Solve for x
    x = 46,190,979.16/6,201.32
  6. Step 6: Final answer
    x = 7,448.57

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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.