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Finding the Fourth Proportional to 9,934.78, 13,714.20 and 6,705.30

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Solution

The fourth proportional to 9,934.78, 13,714.20 and 6,705.30 is: 9,256.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.78 : 13,714.20 = 6,705.30 : x
  2. Step 2: Convert to fraction form
    9,934.78/13,714.20 = 6,705.30/x
  3. Step 3: Cross multiply
    9,934.78x = 13,714.20 × 6,705.30
  4. Step 4: Simplify right side
    9,934.78x = 91,957,825.26
  5. Step 5: Solve for x
    x = 91,957,825.26/9,934.78
  6. Step 6: Final answer
    x = 9,256.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.