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Finding the Fourth Proportional to 6,095.64, 8,412 and 3,301.12

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Solution

The fourth proportional to 6,095.64, 8,412 and 3,301.12 is: 4,555.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.64 : 8,412 = 3,301.12 : x
  2. Step 2: Convert to fraction form
    6,095.64/8,412 = 3,301.12/x
  3. Step 3: Cross multiply
    6,095.64x = 8,412 × 3,301.12
  4. Step 4: Simplify right side
    6,095.64x = 27,769,021.44
  5. Step 5: Solve for x
    x = 27,769,021.44/6,095.64
  6. Step 6: Final answer
    x = 4,555.55

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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.