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Finding the Fourth Proportional to 4,993.65, 7,494.12 and 1,709.51

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Solution

The fourth proportional to 4,993.65, 7,494.12 and 1,709.51 is: 2,565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.65 : 7,494.12 = 1,709.51 : x
  2. Step 2: Convert to fraction form
    4,993.65/7,494.12 = 1,709.51/x
  3. Step 3: Cross multiply
    4,993.65x = 7,494.12 × 1,709.51
  4. Step 4: Simplify right side
    4,993.65x = 12,811,235.61
  5. Step 5: Solve for x
    x = 12,811,235.61/4,993.65
  6. Step 6: Final answer
    x = 2,565.51

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1.5x scale

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.