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Finding the Fourth Proportional to 9,796.16, 13,516.80 and 6,256.64

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Solution

The fourth proportional to 9,796.16, 13,516.80 and 6,256.64 is: 8,632.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.16 : 13,516.80 = 6,256.64 : x
  2. Step 2: Convert to fraction form
    9,796.16/13,516.80 = 6,256.64/x
  3. Step 3: Cross multiply
    9,796.16x = 13,516.80 × 6,256.64
  4. Step 4: Simplify right side
    9,796.16x = 84,569,751.55
  5. Step 5: Solve for x
    x = 84,569,751.55/9,796.16
  6. Step 6: Final answer
    x = 8,632.95

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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.