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Finding the Fourth Proportional to 13,077.44, 19,615.08 and 6,056

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Solution

The fourth proportional to 13,077.44, 19,615.08 and 6,056 is: 9,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.44 : 19,615.08 = 6,056 : x
  2. Step 2: Convert to fraction form
    13,077.44/19,615.08 = 6,056/x
  3. Step 3: Cross multiply
    13,077.44x = 19,615.08 × 6,056
  4. Step 4: Simplify right side
    13,077.44x = 118,788,924.48
  5. Step 5: Solve for x
    x = 118,788,924.48/13,077.44
  6. Step 6: Final answer
    x = 9,083.50

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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.