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Finding the Fourth Proportional to 9,850.97, 13,599.34 and 7,607.81

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Solution

The fourth proportional to 9,850.97, 13,599.34 and 7,607.81 is: 10,502.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.97 : 13,599.34 = 7,607.81 : x
  2. Step 2: Convert to fraction form
    9,850.97/13,599.34 = 7,607.81/x
  3. Step 3: Cross multiply
    9,850.97x = 13,599.34 × 7,607.81
  4. Step 4: Simplify right side
    9,850.97x = 103,461,107.83
  5. Step 5: Solve for x
    x = 103,461,107.83/9,850.97
  6. Step 6: Final answer
    x = 10,502.64

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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.