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Finding the Fourth Proportional to 7,233.09, 9,982.73 and 4,580.74

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Solution

The fourth proportional to 7,233.09, 9,982.73 and 4,580.74 is: 6,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.09 : 9,982.73 = 4,580.74 : x
  2. Step 2: Convert to fraction form
    7,233.09/9,982.73 = 4,580.74/x
  3. Step 3: Cross multiply
    7,233.09x = 9,982.73 × 4,580.74
  4. Step 4: Simplify right side
    7,233.09x = 45,728,292.67
  5. Step 5: Solve for x
    x = 45,728,292.67/7,233.09
  6. Step 6: Final answer
    x = 6,322.10

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Similar ratio
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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.