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Finding the Fourth Proportional to 6,943.51, 10,416.08 and 4,346.65

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Solution

The fourth proportional to 6,943.51, 10,416.08 and 4,346.65 is: 6,520.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.51 : 10,416.08 = 4,346.65 : x
  2. Step 2: Convert to fraction form
    6,943.51/10,416.08 = 4,346.65/x
  3. Step 3: Cross multiply
    6,943.51x = 10,416.08 × 4,346.65
  4. Step 4: Simplify right side
    6,943.51x = 45,275,054.13
  5. Step 5: Solve for x
    x = 45,275,054.13/6,943.51
  6. Step 6: Final answer
    x = 6,520.49

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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.