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Finding the Fourth Proportional to 13,714.64, 20,561.98 and 9,261.26

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Solution

The fourth proportional to 13,714.64, 20,561.98 and 9,261.26 is: 13,885.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.64 : 20,561.98 = 9,261.26 : x
  2. Step 2: Convert to fraction form
    13,714.64/20,561.98 = 9,261.26/x
  3. Step 3: Cross multiply
    13,714.64x = 20,561.98 × 9,261.26
  4. Step 4: Simplify right side
    13,714.64x = 190,429,832.20
  5. Step 5: Solve for x
    x = 190,429,832.20/13,714.64
  6. Step 6: Final answer
    x = 13,885.15

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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.