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Finding the Fourth Proportional to 30,764.94, 46,158.11 and 9,708.22

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Solution

The fourth proportional to 30,764.94, 46,158.11 and 9,708.22 is: 14,565.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,764.94 : 46,158.11 = 9,708.22 : x
  2. Step 2: Convert to fraction form
    30,764.94/46,158.11 = 9,708.22/x
  3. Step 3: Cross multiply
    30,764.94x = 46,158.11 × 9,708.22
  4. Step 4: Simplify right side
    30,764.94x = 448,113,086.66
  5. Step 5: Solve for x
    x = 448,113,086.66/30,764.94
  6. Step 6: Final answer
    x = 14,565.71

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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.