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Finding the Fourth Proportional to 10,858.39, 16,296.84 and 7,746.03

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Solution

The fourth proportional to 10,858.39, 16,296.84 and 7,746.03 is: 11,625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,858.39 : 16,296.84 = 7,746.03 : x
  2. Step 2: Convert to fraction form
    10,858.39/16,296.84 = 7,746.03/x
  3. Step 3: Cross multiply
    10,858.39x = 16,296.84 × 7,746.03
  4. Step 4: Simplify right side
    10,858.39x = 126,235,811.55
  5. Step 5: Solve for x
    x = 126,235,811.55/10,858.39
  6. Step 6: Final answer
    x = 11,625.65

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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.