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Finding the Fourth Proportional to 9,797.60, 13,521.60 and 5,605.76

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Solution

The fourth proportional to 9,797.60, 13,521.60 and 5,605.76 is: 7,736.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.60 : 13,521.60 = 5,605.76 : x
  2. Step 2: Convert to fraction form
    9,797.60/13,521.60 = 5,605.76/x
  3. Step 3: Cross multiply
    9,797.60x = 13,521.60 × 5,605.76
  4. Step 4: Simplify right side
    9,797.60x = 75,798,844.42
  5. Step 5: Solve for x
    x = 75,798,844.42/9,797.60
  6. Step 6: Final answer
    x = 7,736.47

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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.