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Finding the Fourth Proportional to 5,694.65, 7,859.54 and 4,748.78

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Solution

The fourth proportional to 5,694.65, 7,859.54 and 4,748.78 is: 6,554.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.65 : 7,859.54 = 4,748.78 : x
  2. Step 2: Convert to fraction form
    5,694.65/7,859.54 = 4,748.78/x
  3. Step 3: Cross multiply
    5,694.65x = 7,859.54 × 4,748.78
  4. Step 4: Simplify right side
    5,694.65x = 37,323,163.32
  5. Step 5: Solve for x
    x = 37,323,163.32/5,694.65
  6. Step 6: Final answer
    x = 6,554.07

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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.