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Finding the Fourth Proportional to 14,065.71, 19,412.51 and 8,097.63

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Solution

The fourth proportional to 14,065.71, 19,412.51 and 8,097.63 is: 11,175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.71 : 19,412.51 = 8,097.63 : x
  2. Step 2: Convert to fraction form
    14,065.71/19,412.51 = 8,097.63/x
  3. Step 3: Cross multiply
    14,065.71x = 19,412.51 × 8,097.63
  4. Step 4: Simplify right side
    14,065.71x = 157,195,255.62
  5. Step 5: Solve for x
    x = 157,195,255.62/14,065.71
  6. Step 6: Final answer
    x = 11,175.78

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Half scale
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Double scale
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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.