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Finding the Fourth Proportional to 9,472.51, 13,073.17 and 5,697.57

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Solution

The fourth proportional to 9,472.51, 13,073.17 and 5,697.57 is: 7,863.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.51 : 13,073.17 = 5,697.57 : x
  2. Step 2: Convert to fraction form
    9,472.51/13,073.17 = 5,697.57/x
  3. Step 3: Cross multiply
    9,472.51x = 13,073.17 × 5,697.57
  4. Step 4: Simplify right side
    9,472.51x = 74,485,315.44
  5. Step 5: Solve for x
    x = 74,485,315.44/9,472.51
  6. Step 6: Final answer
    x = 7,863.32

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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.