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Finding the Fourth Proportional to 9,850.84, 13,599.17 and 7,607.68

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Solution

The fourth proportional to 9,850.84, 13,599.17 and 7,607.68 is: 10,502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.84 : 13,599.17 = 7,607.68 : x
  2. Step 2: Convert to fraction form
    9,850.84/13,599.17 = 7,607.68/x
  3. Step 3: Cross multiply
    9,850.84x = 13,599.17 × 7,607.68
  4. Step 4: Simplify right side
    9,850.84x = 103,458,133.63
  5. Step 5: Solve for x
    x = 103,458,133.63/9,850.84
  6. Step 6: Final answer
    x = 10,502.47

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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.