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Finding the Fourth Proportional to 9,796.11, 14,675.64 and 7,594.07

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Solution

The fourth proportional to 9,796.11, 14,675.64 and 7,594.07 is: 11,376.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.11 : 14,675.64 = 7,594.07 : x
  2. Step 2: Convert to fraction form
    9,796.11/14,675.64 = 7,594.07/x
  3. Step 3: Cross multiply
    9,796.11x = 14,675.64 × 7,594.07
  4. Step 4: Simplify right side
    9,796.11x = 111,447,764.08
  5. Step 5: Solve for x
    x = 111,447,764.08/9,796.11
  6. Step 6: Final answer
    x = 11,376.74

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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.