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Finding the Fourth Proportional to 10,745.22, 14,824.77 and 6,973.11

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Solution

The fourth proportional to 10,745.22, 14,824.77 and 6,973.11 is: 9,620.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.22 : 14,824.77 = 6,973.11 : x
  2. Step 2: Convert to fraction form
    10,745.22/14,824.77 = 6,973.11/x
  3. Step 3: Cross multiply
    10,745.22x = 14,824.77 × 6,973.11
  4. Step 4: Simplify right side
    10,745.22x = 103,374,751.93
  5. Step 5: Solve for x
    x = 103,374,751.93/10,745.22
  6. Step 6: Final answer
    x = 9,620.53

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1.5x scale

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.