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Finding the Fourth Proportional to 14,954.70, 22,457.70 and 8,288.40

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Solution

The fourth proportional to 14,954.70, 22,457.70 and 8,288.40 is: 12,446.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,954.70 : 22,457.70 = 8,288.40 : x
  2. Step 2: Convert to fraction form
    14,954.70/22,457.70 = 8,288.40/x
  3. Step 3: Cross multiply
    14,954.70x = 22,457.70 × 8,288.40
  4. Step 4: Simplify right side
    14,954.70x = 186,138,400.68
  5. Step 5: Solve for x
    x = 186,138,400.68/14,954.70
  6. Step 6: Final answer
    x = 12,446.82

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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.