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Finding the Fourth Proportional to 14,106.56, 19,462.47 and 8,364.47

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Solution

The fourth proportional to 14,106.56, 19,462.47 and 8,364.47 is: 11,540.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,106.56 : 19,462.47 = 8,364.47 : x
  2. Step 2: Convert to fraction form
    14,106.56/19,462.47 = 8,364.47/x
  3. Step 3: Cross multiply
    14,106.56x = 19,462.47 × 8,364.47
  4. Step 4: Simplify right side
    14,106.56x = 162,793,246.44
  5. Step 5: Solve for x
    x = 162,793,246.44/14,106.56
  6. Step 6: Final answer
    x = 11,540.25

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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.