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Finding the Fourth Proportional to 7,703.04, 11,559.84 and 2,772.72

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Solution

The fourth proportional to 7,703.04, 11,559.84 and 2,772.72 is: 4,160.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.04 : 11,559.84 = 2,772.72 : x
  2. Step 2: Convert to fraction form
    7,703.04/11,559.84 = 2,772.72/x
  3. Step 3: Cross multiply
    7,703.04x = 11,559.84 × 2,772.72
  4. Step 4: Simplify right side
    7,703.04x = 32,052,199.56
  5. Step 5: Solve for x
    x = 32,052,199.56/7,703.04
  6. Step 6: Final answer
    x = 4,160.98

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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.