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Finding the Fourth Proportional to 16,508.76, 24,762.78 and 7,749.78

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Solution

The fourth proportional to 16,508.76, 24,762.78 and 7,749.78 is: 11,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,508.76 : 24,762.78 = 7,749.78 : x
  2. Step 2: Convert to fraction form
    16,508.76/24,762.78 = 7,749.78/x
  3. Step 3: Cross multiply
    16,508.76x = 24,762.78 × 7,749.78
  4. Step 4: Simplify right side
    16,508.76x = 191,906,097.19
  5. Step 5: Solve for x
    x = 191,906,097.19/16,508.76
  6. Step 6: Final answer
    x = 11,624.50

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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.