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Finding the Fourth Proportional to 6,937.83, 9,582.10 and 4,665.22

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Solution

The fourth proportional to 6,937.83, 9,582.10 and 4,665.22 is: 6,443.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.83 : 9,582.10 = 4,665.22 : x
  2. Step 2: Convert to fraction form
    6,937.83/9,582.10 = 4,665.22/x
  3. Step 3: Cross multiply
    6,937.83x = 9,582.10 × 4,665.22
  4. Step 4: Simplify right side
    6,937.83x = 44,702,604.56
  5. Step 5: Solve for x
    x = 44,702,604.56/6,937.83
  6. Step 6: Final answer
    x = 6,443.31

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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.