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Finding the Fourth Proportional to 9,758.72, 13,462.80 and 7,516.64

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Solution

The fourth proportional to 9,758.72, 13,462.80 and 7,516.64 is: 10,369.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.72 : 13,462.80 = 7,516.64 : x
  2. Step 2: Convert to fraction form
    9,758.72/13,462.80 = 7,516.64/x
  3. Step 3: Cross multiply
    9,758.72x = 13,462.80 × 7,516.64
  4. Step 4: Simplify right side
    9,758.72x = 101,195,020.99
  5. Step 5: Solve for x
    x = 101,195,020.99/9,758.72
  6. Step 6: Final answer
    x = 10,369.70

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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.