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Finding the Fourth Proportional to 14,412.42, 19,891.08 and 8,446.47

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Solution

The fourth proportional to 14,412.42, 19,891.08 and 8,446.47 is: 11,657.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,412.42 : 19,891.08 = 8,446.47 : x
  2. Step 2: Convert to fraction form
    14,412.42/19,891.08 = 8,446.47/x
  3. Step 3: Cross multiply
    14,412.42x = 19,891.08 × 8,446.47
  4. Step 4: Simplify right side
    14,412.42x = 168,009,410.49
  5. Step 5: Solve for x
    x = 168,009,410.49/14,412.42
  6. Step 6: Final answer
    x = 11,657.27

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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.