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Finding the Fourth Proportional to 10,720.44, 16,078.98 and 6,559

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Solution

The fourth proportional to 10,720.44, 16,078.98 and 6,559 is: 9,837.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.44 : 16,078.98 = 6,559 : x
  2. Step 2: Convert to fraction form
    10,720.44/16,078.98 = 6,559/x
  3. Step 3: Cross multiply
    10,720.44x = 16,078.98 × 6,559
  4. Step 4: Simplify right side
    10,720.44x = 105,462,029.82
  5. Step 5: Solve for x
    x = 105,462,029.82/10,720.44
  6. Step 6: Final answer
    x = 9,837.47

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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.