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Finding the Fourth Proportional to 7,708.01, 11,555.06 and 2,774.18

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Solution

The fourth proportional to 7,708.01, 11,555.06 and 2,774.18 is: 4,158.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.01 : 11,555.06 = 2,774.18 : x
  2. Step 2: Convert to fraction form
    7,708.01/11,555.06 = 2,774.18/x
  3. Step 3: Cross multiply
    7,708.01x = 11,555.06 × 2,774.18
  4. Step 4: Simplify right side
    7,708.01x = 32,055,744.70
  5. Step 5: Solve for x
    x = 32,055,744.70/7,708.01
  6. Step 6: Final answer
    x = 4,158.76

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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.