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Finding the Fourth Proportional to 6,764.94, 9,337.05 and 4,646.34

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Solution

The fourth proportional to 6,764.94, 9,337.05 and 4,646.34 is: 6,412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764.94 : 9,337.05 = 4,646.34 : x
  2. Step 2: Convert to fraction form
    6,764.94/9,337.05 = 4,646.34/x
  3. Step 3: Cross multiply
    6,764.94x = 9,337.05 × 4,646.34
  4. Step 4: Simplify right side
    6,764.94x = 43,383,108.90
  5. Step 5: Solve for x
    x = 43,383,108.90/6,764.94
  6. Step 6: Final answer
    x = 6,412.93

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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.