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Finding the Fourth Proportional to 6,056.96, 9,083.52 and 1,952

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Solution

The fourth proportional to 6,056.96, 9,083.52 and 1,952 is: 2,927.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,056.96 : 9,083.52 = 1,952 : x
  2. Step 2: Convert to fraction form
    6,056.96/9,083.52 = 1,952/x
  3. Step 3: Cross multiply
    6,056.96x = 9,083.52 × 1,952
  4. Step 4: Simplify right side
    6,056.96x = 17,731,031.04
  5. Step 5: Solve for x
    x = 17,731,031.04/6,056.96
  6. Step 6: Final answer
    x = 2,927.38

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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.