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Finding the Fourth Proportional to 14,657.76, 21,991.50 and 9,746.73

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Solution

The fourth proportional to 14,657.76, 21,991.50 and 9,746.73 is: 14,623.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.76 : 21,991.50 = 9,746.73 : x
  2. Step 2: Convert to fraction form
    14,657.76/21,991.50 = 9,746.73/x
  3. Step 3: Cross multiply
    14,657.76x = 21,991.50 × 9,746.73
  4. Step 4: Simplify right side
    14,657.76x = 214,345,212.80
  5. Step 5: Solve for x
    x = 214,345,212.80/14,657.76
  6. Step 6: Final answer
    x = 14,623.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.