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Finding the Fourth Proportional to 6,984.64, 9,638.22 and 3,840.76

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Solution

The fourth proportional to 6,984.64, 9,638.22 and 3,840.76 is: 5,299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.64 : 9,638.22 = 3,840.76 : x
  2. Step 2: Convert to fraction form
    6,984.64/9,638.22 = 3,840.76/x
  3. Step 3: Cross multiply
    6,984.64x = 9,638.22 × 3,840.76
  4. Step 4: Simplify right side
    6,984.64x = 37,018,089.85
  5. Step 5: Solve for x
    x = 37,018,089.85/6,984.64
  6. Step 6: Final answer
    x = 5,299.93

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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.