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Finding the Fourth Proportional to 7,857.66, 10,843.52 and 4,673.18

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Solution

The fourth proportional to 7,857.66, 10,843.52 and 4,673.18 is: 6,448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.66 : 10,843.52 = 4,673.18 : x
  2. Step 2: Convert to fraction form
    7,857.66/10,843.52 = 4,673.18/x
  3. Step 3: Cross multiply
    7,857.66x = 10,843.52 × 4,673.18
  4. Step 4: Simplify right side
    7,857.66x = 50,673,720.79
  5. Step 5: Solve for x
    x = 50,673,720.79/7,857.66
  6. Step 6: Final answer
    x = 6,448.96

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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.