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Finding the Fourth Proportional to 11,493, 15,860.34 and 6,525

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Solution

The fourth proportional to 11,493, 15,860.34 and 6,525 is: 9,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493 : 15,860.34 = 6,525 : x
  2. Step 2: Convert to fraction form
    11,493/15,860.34 = 6,525/x
  3. Step 3: Cross multiply
    11,493x = 15,860.34 × 6,525
  4. Step 4: Simplify right side
    11,493x = 103,488,718.50
  5. Step 5: Solve for x
    x = 103,488,718.50/11,493
  6. Step 6: Final answer
    x = 9,004.50

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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.