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Finding the Fourth Proportional to 14,016.12, 19,342.68 and 7,728.90

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Solution

The fourth proportional to 14,016.12, 19,342.68 and 7,728.90 is: 10,666.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,016.12 : 19,342.68 = 7,728.90 : x
  2. Step 2: Convert to fraction form
    14,016.12/19,342.68 = 7,728.90/x
  3. Step 3: Cross multiply
    14,016.12x = 19,342.68 × 7,728.90
  4. Step 4: Simplify right side
    14,016.12x = 149,497,639.45
  5. Step 5: Solve for x
    x = 149,497,639.45/14,016.12
  6. Step 6: Final answer
    x = 10,666.12

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Half 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.