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Finding the Fourth Proportional to 9,788.97, 13,508.79 and 5,597.22

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Solution

The fourth proportional to 9,788.97, 13,508.79 and 5,597.22 is: 7,724.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.97 : 13,508.79 = 5,597.22 : x
  2. Step 2: Convert to fraction form
    9,788.97/13,508.79 = 5,597.22/x
  3. Step 3: Cross multiply
    9,788.97x = 13,508.79 × 5,597.22
  4. Step 4: Simplify right side
    9,788.97x = 75,611,602.02
  5. Step 5: Solve for x
    x = 75,611,602.02/9,788.97
  6. Step 6: Final answer
    x = 7,724.17

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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.