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Finding the Fourth Proportional to 4,338.58, 6,509.09 and 1,743.34

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Solution

The fourth proportional to 4,338.58, 6,509.09 and 1,743.34 is: 2,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.58 : 6,509.09 = 1,743.34 : x
  2. Step 2: Convert to fraction form
    4,338.58/6,509.09 = 1,743.34/x
  3. Step 3: Cross multiply
    4,338.58x = 6,509.09 × 1,743.34
  4. Step 4: Simplify right side
    4,338.58x = 11,347,556.96
  5. Step 5: Solve for x
    x = 11,347,556.96/4,338.58
  6. Step 6: Final answer
    x = 2,615.50

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Half scale
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Double scale
Find fourth proportional to 4,339.58, 6,510.59 and 1,744.34
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.