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Finding the Fourth Proportional to 14,295.69, 19,724.31 and 9,260.73

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Solution

The fourth proportional to 14,295.69, 19,724.31 and 9,260.73 is: 12,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,295.69 : 19,724.31 = 9,260.73 : x
  2. Step 2: Convert to fraction form
    14,295.69/19,724.31 = 9,260.73/x
  3. Step 3: Cross multiply
    14,295.69x = 19,724.31 × 9,260.73
  4. Step 4: Simplify right side
    14,295.69x = 182,661,509.35
  5. Step 5: Solve for x
    x = 182,661,509.35/14,295.69
  6. Step 6: Final answer
    x = 12,777.38

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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.