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Finding the Fourth Proportional to 9,792.16, 13,516.86 and 5,815.24

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Solution

The fourth proportional to 9,792.16, 13,516.86 and 5,815.24 is: 8,027.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.16 : 13,516.86 = 5,815.24 : x
  2. Step 2: Convert to fraction form
    9,792.16/13,516.86 = 5,815.24/x
  3. Step 3: Cross multiply
    9,792.16x = 13,516.86 × 5,815.24
  4. Step 4: Simplify right side
    9,792.16x = 78,603,784.95
  5. Step 5: Solve for x
    x = 78,603,784.95/9,792.16
  6. Step 6: Final answer
    x = 8,027.22

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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.