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Finding the Fourth Proportional to 6,984.02, 9,633.74 and 4,295.70

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Solution

The fourth proportional to 6,984.02, 9,633.74 and 4,295.70 is: 5,925.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.02 : 9,633.74 = 4,295.70 : x
  2. Step 2: Convert to fraction form
    6,984.02/9,633.74 = 4,295.70/x
  3. Step 3: Cross multiply
    6,984.02x = 9,633.74 × 4,295.70
  4. Step 4: Simplify right side
    6,984.02x = 41,383,635.44
  5. Step 5: Solve for x
    x = 41,383,635.44/6,984.02
  6. Step 6: Final answer
    x = 5,925.47

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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.