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Finding the Fourth Proportional to 4,340.58, 6,512.10 and 1,745.34

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Solution

The fourth proportional to 4,340.58, 6,512.10 and 1,745.34 is: 2,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.58 : 6,512.10 = 1,745.34 : x
  2. Step 2: Convert to fraction form
    4,340.58/6,512.10 = 1,745.34/x
  3. Step 3: Cross multiply
    4,340.58x = 6,512.10 × 1,745.34
  4. Step 4: Simplify right side
    4,340.58x = 11,365,828.61
  5. Step 5: Solve for x
    x = 11,365,828.61/4,340.58
  6. Step 6: Final answer
    x = 2,618.50

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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.