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Finding the Fourth Proportional to 14,356.75, 19,812.12 and 8,069.14

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Solution

The fourth proportional to 14,356.75, 19,812.12 and 8,069.14 is: 11,135.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,356.75 : 19,812.12 = 8,069.14 : x
  2. Step 2: Convert to fraction form
    14,356.75/19,812.12 = 8,069.14/x
  3. Step 3: Cross multiply
    14,356.75x = 19,812.12 × 8,069.14
  4. Step 4: Simplify right side
    14,356.75x = 159,866,769.98
  5. Step 5: Solve for x
    x = 159,866,769.98/14,356.75
  6. Step 6: Final answer
    x = 11,135.30

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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.