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Finding the Fourth Proportional to 9,472.97, 14,208.93 and 2,899.15

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Solution

The fourth proportional to 9,472.97, 14,208.93 and 2,899.15 is: 4,348.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.97 : 14,208.93 = 2,899.15 : x
  2. Step 2: Convert to fraction form
    9,472.97/14,208.93 = 2,899.15/x
  3. Step 3: Cross multiply
    9,472.97x = 14,208.93 × 2,899.15
  4. Step 4: Simplify right side
    9,472.97x = 41,193,748.36
  5. Step 5: Solve for x
    x = 41,193,748.36/9,472.97
  6. Step 6: Final answer
    x = 4,348.56

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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.