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Finding the Fourth Proportional to 9,188.57, 13,758.12 and 4,796.75

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Solution

The fourth proportional to 9,188.57, 13,758.12 and 4,796.75 is: 7,182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.57 : 13,758.12 = 4,796.75 : x
  2. Step 2: Convert to fraction form
    9,188.57/13,758.12 = 4,796.75/x
  3. Step 3: Cross multiply
    9,188.57x = 13,758.12 × 4,796.75
  4. Step 4: Simplify right side
    9,188.57x = 65,994,296.51
  5. Step 5: Solve for x
    x = 65,994,296.51/9,188.57
  6. Step 6: Final answer
    x = 7,182.21

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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.