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Finding the Fourth Proportional to 11,772.50, 16,246.42 and 6,467.50

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Solution

The fourth proportional to 11,772.50, 16,246.42 and 6,467.50 is: 8,925.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.50 : 16,246.42 = 6,467.50 : x
  2. Step 2: Convert to fraction form
    11,772.50/16,246.42 = 6,467.50/x
  3. Step 3: Cross multiply
    11,772.50x = 16,246.42 × 6,467.50
  4. Step 4: Simplify right side
    11,772.50x = 105,073,721.35
  5. Step 5: Solve for x
    x = 105,073,721.35/11,772.50
  6. Step 6: Final answer
    x = 8,925.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.