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Finding the Fourth Proportional to 12,296.96, 18,445.68 and 4,904.96

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Solution

The fourth proportional to 12,296.96, 18,445.68 and 4,904.96 is: 7,357.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.96 : 18,445.68 = 4,904.96 : x
  2. Step 2: Convert to fraction form
    12,296.96/18,445.68 = 4,904.96/x
  3. Step 3: Cross multiply
    12,296.96x = 18,445.68 × 4,904.96
  4. Step 4: Simplify right side
    12,296.96x = 90,475,322.57
  5. Step 5: Solve for x
    x = 90,475,322.57/12,296.96
  6. Step 6: Final answer
    x = 7,357.54

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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.