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Finding the Fourth Proportional to 6,984.01, 9,646.16 and 4,622.05

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Solution

The fourth proportional to 6,984.01, 9,646.16 and 4,622.05 is: 6,383.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.01 : 9,646.16 = 4,622.05 : x
  2. Step 2: Convert to fraction form
    6,984.01/9,646.16 = 4,622.05/x
  3. Step 3: Cross multiply
    6,984.01x = 9,646.16 × 4,622.05
  4. Step 4: Simplify right side
    6,984.01x = 44,585,033.83
  5. Step 5: Solve for x
    x = 44,585,033.83/6,984.01
  6. Step 6: Final answer
    x = 6,383.87

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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.