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Finding the Fourth Proportional to 9,714.42, 13,400.62 and 8,025.84

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Solution

The fourth proportional to 9,714.42, 13,400.62 and 8,025.84 is: 11,071.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.42 : 13,400.62 = 8,025.84 : x
  2. Step 2: Convert to fraction form
    9,714.42/13,400.62 = 8,025.84/x
  3. Step 3: Cross multiply
    9,714.42x = 13,400.62 × 8,025.84
  4. Step 4: Simplify right side
    9,714.42x = 107,551,232.02
  5. Step 5: Solve for x
    x = 107,551,232.02/9,714.42
  6. Step 6: Final answer
    x = 11,071.30

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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.