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Finding the Fourth Proportional to 9,295.88, 13,927.62 and 7,745.84

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Solution

The fourth proportional to 9,295.88, 13,927.62 and 7,745.84 is: 11,605.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.88 : 13,927.62 = 7,745.84 : x
  2. Step 2: Convert to fraction form
    9,295.88/13,927.62 = 7,745.84/x
  3. Step 3: Cross multiply
    9,295.88x = 13,927.62 × 7,745.84
  4. Step 4: Simplify right side
    9,295.88x = 107,881,116.10
  5. Step 5: Solve for x
    x = 107,881,116.10/9,295.88
  6. Step 6: Final answer
    x = 11,605.26

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1.5x scale

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.