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Finding the Fourth Proportional to 14,106.81, 19,468.11 and 7,819.19

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Solution

The fourth proportional to 14,106.81, 19,468.11 and 7,819.19 is: 10,790.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,106.81 : 19,468.11 = 7,819.19 : x
  2. Step 2: Convert to fraction form
    14,106.81/19,468.11 = 7,819.19/x
  3. Step 3: Cross multiply
    14,106.81x = 19,468.11 × 7,819.19
  4. Step 4: Simplify right side
    14,106.81x = 152,224,851.03
  5. Step 5: Solve for x
    x = 152,224,851.03/14,106.81
  6. Step 6: Final answer
    x = 10,790.88

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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.