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Finding the Fourth Proportional to 14,107.26, 19,466.71 and 7,819.10

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Solution

The fourth proportional to 14,107.26, 19,466.71 and 7,819.10 is: 10,789.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.26 : 19,466.71 = 7,819.10 : x
  2. Step 2: Convert to fraction form
    14,107.26/19,466.71 = 7,819.10/x
  3. Step 3: Cross multiply
    14,107.26x = 19,466.71 × 7,819.10
  4. Step 4: Simplify right side
    14,107.26x = 152,212,152.16
  5. Step 5: Solve for x
    x = 152,212,152.16/14,107.26
  6. Step 6: Final answer
    x = 10,789.63

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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.