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Finding the Fourth Proportional to 9,902.56, 13,642.08 and 6,913.12

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Solution

The fourth proportional to 9,902.56, 13,642.08 and 6,913.12 is: 9,523.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.56 : 13,642.08 = 6,913.12 : x
  2. Step 2: Convert to fraction form
    9,902.56/13,642.08 = 6,913.12/x
  3. Step 3: Cross multiply
    9,902.56x = 13,642.08 × 6,913.12
  4. Step 4: Simplify right side
    9,902.56x = 94,309,336.09
  5. Step 5: Solve for x
    x = 94,309,336.09/9,902.56
  6. Step 6: Final answer
    x = 9,523.73

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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.