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Finding the Fourth Proportional to 12,837.17, 17,714.44 and 7,247.81

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Solution

The fourth proportional to 12,837.17, 17,714.44 and 7,247.81 is: 10,001.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,837.17 : 17,714.44 = 7,247.81 : x
  2. Step 2: Convert to fraction form
    12,837.17/17,714.44 = 7,247.81/x
  3. Step 3: Cross multiply
    12,837.17x = 17,714.44 × 7,247.81
  4. Step 4: Simplify right side
    12,837.17x = 128,390,948.72
  5. Step 5: Solve for x
    x = 128,390,948.72/12,837.17
  6. Step 6: Final answer
    x = 10,001.50

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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.