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Finding the Fourth Proportional to 14,491.50, 19,998.27 and 7,867.50

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Solution

The fourth proportional to 14,491.50, 19,998.27 and 7,867.50 is: 10,857.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491.50 : 19,998.27 = 7,867.50 : x
  2. Step 2: Convert to fraction form
    14,491.50/19,998.27 = 7,867.50/x
  3. Step 3: Cross multiply
    14,491.50x = 19,998.27 × 7,867.50
  4. Step 4: Simplify right side
    14,491.50x = 157,336,389.23
  5. Step 5: Solve for x
    x = 157,336,389.23/14,491.50
  6. Step 6: Final answer
    x = 10,857.15

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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.