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Finding the Fourth Proportional to 10,495.97, 14,469.94 and 7,506.60

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Solution

The fourth proportional to 10,495.97, 14,469.94 and 7,506.60 is: 10,348.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.97 : 14,469.94 = 7,506.60 : x
  2. Step 2: Convert to fraction form
    10,495.97/14,469.94 = 7,506.60/x
  3. Step 3: Cross multiply
    10,495.97x = 14,469.94 × 7,506.60
  4. Step 4: Simplify right side
    10,495.97x = 108,620,051.60
  5. Step 5: Solve for x
    x = 108,620,051.60/10,495.97
  6. Step 6: Final answer
    x = 10,348.74

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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.