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Finding the Fourth Proportional to 13,714.53, 18,926.24 and 7,664.51

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Solution

The fourth proportional to 13,714.53, 18,926.24 and 7,664.51 is: 10,577.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.53 : 18,926.24 = 7,664.51 : x
  2. Step 2: Convert to fraction form
    13,714.53/18,926.24 = 7,664.51/x
  3. Step 3: Cross multiply
    13,714.53x = 18,926.24 × 7,664.51
  4. Step 4: Simplify right side
    13,714.53x = 145,060,355.74
  5. Step 5: Solve for x
    x = 145,060,355.74/13,714.53
  6. Step 6: Final answer
    x = 10,577.13

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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.