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Finding the Fourth Proportional to 14,409.50, 19,885.11 and 7,785.50

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Solution

The fourth proportional to 14,409.50, 19,885.11 and 7,785.50 is: 10,743.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409.50 : 19,885.11 = 7,785.50 : x
  2. Step 2: Convert to fraction form
    14,409.50/19,885.11 = 7,785.50/x
  3. Step 3: Cross multiply
    14,409.50x = 19,885.11 × 7,785.50
  4. Step 4: Simplify right side
    14,409.50x = 154,815,523.91
  5. Step 5: Solve for x
    x = 154,815,523.91/14,409.50
  6. Step 6: Final answer
    x = 10,743.99

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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.