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Finding the Fourth Proportional to 4,648.58, 6,415.20 and 2,659.10

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Solution

The fourth proportional to 4,648.58, 6,415.20 and 2,659.10 is: 3,669.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.58 : 6,415.20 = 2,659.10 : x
  2. Step 2: Convert to fraction form
    4,648.58/6,415.20 = 2,659.10/x
  3. Step 3: Cross multiply
    4,648.58x = 6,415.20 × 2,659.10
  4. Step 4: Simplify right side
    4,648.58x = 17,058,658.32
  5. Step 5: Solve for x
    x = 17,058,658.32/4,648.58
  6. Step 6: Final answer
    x = 3,669.65

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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.