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Finding the Fourth Proportional to 34,475.47, 51,714.96 and 9,514.97

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Solution

The fourth proportional to 34,475.47, 51,714.96 and 9,514.97 is: 14,272.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,475.47 : 51,714.96 = 9,514.97 : x
  2. Step 2: Convert to fraction form
    34,475.47/51,714.96 = 9,514.97/x
  3. Step 3: Cross multiply
    34,475.47x = 51,714.96 × 9,514.97
  4. Step 4: Simplify right side
    34,475.47x = 492,066,192.63
  5. Step 5: Solve for x
    x = 492,066,192.63/34,475.47
  6. Step 6: Final answer
    x = 14,272.94

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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.