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Finding the Fourth Proportional to 9,936.32, 13,714.72 and 6,157.32

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Solution

The fourth proportional to 9,936.32, 13,714.72 and 6,157.32 is: 8,498.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,936.32 : 13,714.72 = 6,157.32 : x
  2. Step 2: Convert to fraction form
    9,936.32/13,714.72 = 6,157.32/x
  3. Step 3: Cross multiply
    9,936.32x = 13,714.72 × 6,157.32
  4. Step 4: Simplify right side
    9,936.32x = 84,445,852.93
  5. Step 5: Solve for x
    x = 84,445,852.93/9,936.32
  6. Step 6: Final answer
    x = 8,498.70

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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.