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Finding the Fourth Proportional to 14,496.17, 20,004.11 and 8,446.98

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Solution

The fourth proportional to 14,496.17, 20,004.11 and 8,446.98 is: 11,656.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.17 : 20,004.11 = 8,446.98 : x
  2. Step 2: Convert to fraction form
    14,496.17/20,004.11 = 8,446.98/x
  3. Step 3: Cross multiply
    14,496.17x = 20,004.11 × 8,446.98
  4. Step 4: Simplify right side
    14,496.17x = 168,974,429.06
  5. Step 5: Solve for x
    x = 168,974,429.06/14,496.17
  6. Step 6: Final answer
    x = 11,656.49

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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.