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Finding the Fourth Proportional to 24,616.96, 36,925.86 and 7,749.54

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Solution

The fourth proportional to 24,616.96, 36,925.86 and 7,749.54 is: 11,624.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,616.96 : 36,925.86 = 7,749.54 : x
  2. Step 2: Convert to fraction form
    24,616.96/36,925.86 = 7,749.54/x
  3. Step 3: Cross multiply
    24,616.96x = 36,925.86 × 7,749.54
  4. Step 4: Simplify right side
    24,616.96x = 286,158,429.10
  5. Step 5: Solve for x
    x = 286,158,429.10/24,616.96
  6. Step 6: Final answer
    x = 11,624.44

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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.