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Finding the Fourth Proportional to 9,472.62, 13,072.65 and 5,494.98

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Solution

The fourth proportional to 9,472.62, 13,072.65 and 5,494.98 is: 7,583.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.62 : 13,072.65 = 5,494.98 : x
  2. Step 2: Convert to fraction form
    9,472.62/13,072.65 = 5,494.98/x
  3. Step 3: Cross multiply
    9,472.62x = 13,072.65 × 5,494.98
  4. Step 4: Simplify right side
    9,472.62x = 71,833,950.30
  5. Step 5: Solve for x
    x = 71,833,950.30/9,472.62
  6. Step 6: Final answer
    x = 7,583.32

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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.