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Finding the Fourth Proportional to 6,595.83, 9,096.09 and 4,203.31

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Solution

The fourth proportional to 6,595.83, 9,096.09 and 4,203.31 is: 5,796.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.83 : 9,096.09 = 4,203.31 : x
  2. Step 2: Convert to fraction form
    6,595.83/9,096.09 = 4,203.31/x
  3. Step 3: Cross multiply
    6,595.83x = 9,096.09 × 4,203.31
  4. Step 4: Simplify right side
    6,595.83x = 38,233,638.06
  5. Step 5: Solve for x
    x = 38,233,638.06/6,595.83
  6. Step 6: Final answer
    x = 5,796.64

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Half scale
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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.