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Finding the Fourth Proportional to 14,495.34, 21,751.22 and 6,174.49

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Solution

The fourth proportional to 14,495.34, 21,751.22 and 6,174.49 is: 9,265.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,495.34 : 21,751.22 = 6,174.49 : x
  2. Step 2: Convert to fraction form
    14,495.34/21,751.22 = 6,174.49/x
  3. Step 3: Cross multiply
    14,495.34x = 21,751.22 × 6,174.49
  4. Step 4: Simplify right side
    14,495.34x = 134,302,690.38
  5. Step 5: Solve for x
    x = 134,302,690.38/14,495.34
  6. Step 6: Final answer
    x = 9,265.23

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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.