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Finding the Fourth Proportional to 9,669.14, 14,517.08 and 4,993.01

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Solution

The fourth proportional to 9,669.14, 14,517.08 and 4,993.01 is: 7,496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.14 : 14,517.08 = 4,993.01 : x
  2. Step 2: Convert to fraction form
    9,669.14/14,517.08 = 4,993.01/x
  3. Step 3: Cross multiply
    9,669.14x = 14,517.08 × 4,993.01
  4. Step 4: Simplify right side
    9,669.14x = 72,483,828.06
  5. Step 5: Solve for x
    x = 72,483,828.06/9,669.14
  6. Step 6: Final answer
    x = 7,496.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.