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Finding the Fourth Proportional to 9,714.60, 13,407.12 and 5,939.46

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Solution

The fourth proportional to 9,714.60, 13,407.12 and 5,939.46 is: 8,197.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.60 : 13,407.12 = 5,939.46 : x
  2. Step 2: Convert to fraction form
    9,714.60/13,407.12 = 5,939.46/x
  3. Step 3: Cross multiply
    9,714.60x = 13,407.12 × 5,939.46
  4. Step 4: Simplify right side
    9,714.60x = 79,631,052.96
  5. Step 5: Solve for x
    x = 79,631,052.96/9,714.60
  6. Step 6: Final answer
    x = 8,197.05

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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.