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Finding the Fourth Proportional to 13,714.56, 20,646.57 and 9,359.40

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Solution

The fourth proportional to 13,714.56, 20,646.57 and 9,359.40 is: 14,090.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.56 : 20,646.57 = 9,359.40 : x
  2. Step 2: Convert to fraction form
    13,714.56/20,646.57 = 9,359.40/x
  3. Step 3: Cross multiply
    13,714.56x = 20,646.57 × 9,359.40
  4. Step 4: Simplify right side
    13,714.56x = 193,239,507.26
  5. Step 5: Solve for x
    x = 193,239,507.26/13,714.56
  6. Step 6: Final answer
    x = 14,090.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.