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Finding the Fourth Proportional to 14,412.99, 19,891.74 and 8,446.94

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Solution

The fourth proportional to 14,412.99, 19,891.74 and 8,446.94 is: 11,657.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,412.99 : 19,891.74 = 8,446.94 : x
  2. Step 2: Convert to fraction form
    14,412.99/19,891.74 = 8,446.94/x
  3. Step 3: Cross multiply
    14,412.99x = 19,891.74 × 8,446.94
  4. Step 4: Simplify right side
    14,412.99x = 168,024,334.28
  5. Step 5: Solve for x
    x = 168,024,334.28/14,412.99
  6. Step 6: Final answer
    x = 11,657.84

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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.