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Finding the Fourth Proportional to 16,491.64, 24,715.32 and 7,707.64

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Solution

The fourth proportional to 16,491.64, 24,715.32 and 7,707.64 is: 11,551.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,491.64 : 24,715.32 = 7,707.64 : x
  2. Step 2: Convert to fraction form
    16,491.64/24,715.32 = 7,707.64/x
  3. Step 3: Cross multiply
    16,491.64x = 24,715.32 × 7,707.64
  4. Step 4: Simplify right side
    16,491.64x = 190,496,789.04
  5. Step 5: Solve for x
    x = 190,496,789.04/16,491.64
  6. Step 6: Final answer
    x = 11,551.11

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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.