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Finding the Fourth Proportional to 30,700.98, 46,051.29 and 8,514.12

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Solution

The fourth proportional to 30,700.98, 46,051.29 and 8,514.12 is: 12,771.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700.98 : 46,051.29 = 8,514.12 : x
  2. Step 2: Convert to fraction form
    30,700.98/46,051.29 = 8,514.12/x
  3. Step 3: Cross multiply
    30,700.98x = 46,051.29 × 8,514.12
  4. Step 4: Simplify right side
    30,700.98x = 392,086,209.21
  5. Step 5: Solve for x
    x = 392,086,209.21/30,700.98
  6. Step 6: Final answer
    x = 12,771.13

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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.