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Finding the Fourth Proportional to 14,106.96, 19,467.95 and 7,819.34

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Solution

The fourth proportional to 14,106.96, 19,467.95 and 7,819.34 is: 10,790.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,106.96 : 19,467.95 = 7,819.34 : x
  2. Step 2: Convert to fraction form
    14,106.96/19,467.95 = 7,819.34/x
  3. Step 3: Cross multiply
    14,106.96x = 19,467.95 × 7,819.34
  4. Step 4: Simplify right side
    14,106.96x = 152,226,383.72
  5. Step 5: Solve for x
    x = 152,226,383.72/14,106.96
  6. Step 6: Final answer
    x = 10,790.87

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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.