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Finding the Fourth Proportional to 4,095.66, 6,141.74 and 1,904.16

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Solution

The fourth proportional to 4,095.66, 6,141.74 and 1,904.16 is: 2,855.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.66 : 6,141.74 = 1,904.16 : x
  2. Step 2: Convert to fraction form
    4,095.66/6,141.74 = 1,904.16/x
  3. Step 3: Cross multiply
    4,095.66x = 6,141.74 × 1,904.16
  4. Step 4: Simplify right side
    4,095.66x = 11,694,846.12
  5. Step 5: Solve for x
    x = 11,694,846.12/4,095.66
  6. Step 6: Final answer
    x = 2,855.42

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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.