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Finding the Fourth Proportional to 7,705.54, 11,559.03 and 3,546.71

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Solution

The fourth proportional to 7,705.54, 11,559.03 and 3,546.71 is: 5,320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.54 : 11,559.03 = 3,546.71 : x
  2. Step 2: Convert to fraction form
    7,705.54/11,559.03 = 3,546.71/x
  3. Step 3: Cross multiply
    7,705.54x = 11,559.03 × 3,546.71
  4. Step 4: Simplify right side
    7,705.54x = 40,996,527.29
  5. Step 5: Solve for x
    x = 40,996,527.29/7,705.54
  6. Step 6: Final answer
    x = 5,320.40

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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.