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Finding the Fourth Proportional to 30,770.92, 46,167.12 and 9,714.22

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Solution

The fourth proportional to 30,770.92, 46,167.12 and 9,714.22 is: 14,574.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,770.92 : 46,167.12 = 9,714.22 : x
  2. Step 2: Convert to fraction form
    30,770.92/46,167.12 = 9,714.22/x
  3. Step 3: Cross multiply
    30,770.92x = 46,167.12 × 9,714.22
  4. Step 4: Simplify right side
    30,770.92x = 448,477,560.45
  5. Step 5: Solve for x
    x = 448,477,560.45/30,770.92
  6. Step 6: Final answer
    x = 14,574.72

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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.