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Finding the Fourth Proportional to 30,773.82, 46,161.70 and 9,714.06

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Solution

The fourth proportional to 30,773.82, 46,161.70 and 9,714.06 is: 14,571.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,773.82 : 46,161.70 = 9,714.06 : x
  2. Step 2: Convert to fraction form
    30,773.82/46,161.70 = 9,714.06/x
  3. Step 3: Cross multiply
    30,773.82x = 46,161.70 × 9,714.06
  4. Step 4: Simplify right side
    30,773.82x = 448,417,499.22
  5. Step 5: Solve for x
    x = 448,417,499.22/30,773.82
  6. Step 6: Final answer
    x = 14,571.39

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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.