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Finding the Fourth Proportional to 9,736.20, 13,656.60 and 9,736.20

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Solution

The fourth proportional to 9,736.20, 13,656.60 and 9,736.20 is: 13,656.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,736.20 : 13,656.60 = 9,736.20 : x
  2. Step 2: Convert to fraction form
    9,736.20/13,656.60 = 9,736.20/x
  3. Step 3: Cross multiply
    9,736.20x = 13,656.60 × 9,736.20
  4. Step 4: Simplify right side
    9,736.20x = 132,963,388.92
  5. Step 5: Solve for x
    x = 132,963,388.92/9,736.20
  6. Step 6: Final answer
    x = 13,656.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.