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Finding the Fourth Proportional to 7,777.84, 11,684.04 and 6,741.04

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Solution

The fourth proportional to 7,777.84, 11,684.04 and 6,741.04 is: 10,126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.84 : 11,684.04 = 6,741.04 : x
  2. Step 2: Convert to fraction form
    7,777.84/11,684.04 = 6,741.04/x
  3. Step 3: Cross multiply
    7,777.84x = 11,684.04 × 6,741.04
  4. Step 4: Simplify right side
    7,777.84x = 78,762,581.00
  5. Step 5: Solve for x
    x = 78,762,581.00/7,777.84
  6. Step 6: Final answer
    x = 10,126.54

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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.