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Finding the Fourth Proportional to 15,714, 23,577.48 and 6,486.48

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Solution

The fourth proportional to 15,714, 23,577.48 and 6,486.48 is: 9,732.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714 : 23,577.48 = 6,486.48 : x
  2. Step 2: Convert to fraction form
    15,714/23,577.48 = 6,486.48/x
  3. Step 3: Cross multiply
    15,714x = 23,577.48 × 6,486.48
  4. Step 4: Simplify right side
    15,714x = 152,934,852.47
  5. Step 5: Solve for x
    x = 152,934,852.47/15,714
  6. Step 6: Final answer
    x = 9,732.39

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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.