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Finding the Fourth Proportional to 5,047.06, 6,964.08 and 4,638.77

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Solution

The fourth proportional to 5,047.06, 6,964.08 and 4,638.77 is: 6,400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.06 : 6,964.08 = 4,638.77 : x
  2. Step 2: Convert to fraction form
    5,047.06/6,964.08 = 4,638.77/x
  3. Step 3: Cross multiply
    5,047.06x = 6,964.08 × 4,638.77
  4. Step 4: Simplify right side
    5,047.06x = 32,304,739.28
  5. Step 5: Solve for x
    x = 32,304,739.28/5,047.06
  6. Step 6: Final answer
    x = 6,400.71

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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.