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Finding the Fourth Proportional to 14,294.63, 19,726.59 and 8,007.14

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Solution

The fourth proportional to 14,294.63, 19,726.59 and 8,007.14 is: 11,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,294.63 : 19,726.59 = 8,007.14 : x
  2. Step 2: Convert to fraction form
    14,294.63/19,726.59 = 8,007.14/x
  3. Step 3: Cross multiply
    14,294.63x = 19,726.59 × 8,007.14
  4. Step 4: Simplify right side
    14,294.63x = 157,953,567.85
  5. Step 5: Solve for x
    x = 157,953,567.85/14,294.63
  6. Step 6: Final answer
    x = 11,049.85

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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.