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Finding the Fourth Proportional to 14,102.59, 19,462.95 and 7,814.97

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Solution

The fourth proportional to 14,102.59, 19,462.95 and 7,814.97 is: 10,785.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.59 : 19,462.95 = 7,814.97 : x
  2. Step 2: Convert to fraction form
    14,102.59/19,462.95 = 7,814.97/x
  3. Step 3: Cross multiply
    14,102.59x = 19,462.95 × 7,814.97
  4. Step 4: Simplify right side
    14,102.59x = 152,102,370.36
  5. Step 5: Solve for x
    x = 152,102,370.36/14,102.59
  6. Step 6: Final answer
    x = 10,785.42

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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.