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Finding the Fourth Proportional to 5,694, 7,857.63 and 4,582.68

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Solution

The fourth proportional to 5,694, 7,857.63 and 4,582.68 is: 6,324.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694 : 7,857.63 = 4,582.68 : x
  2. Step 2: Convert to fraction form
    5,694/7,857.63 = 4,582.68/x
  3. Step 3: Cross multiply
    5,694x = 7,857.63 × 4,582.68
  4. Step 4: Simplify right side
    5,694x = 36,009,003.85
  5. Step 5: Solve for x
    x = 36,009,003.85/5,694
  6. Step 6: Final answer
    x = 6,324.03

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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.