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Finding the Fourth Proportional to 4,648.50, 6,973.15 and 1,185.74

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Solution

The fourth proportional to 4,648.50, 6,973.15 and 1,185.74 is: 1,778.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.50 : 6,973.15 = 1,185.74 : x
  2. Step 2: Convert to fraction form
    4,648.50/6,973.15 = 1,185.74/x
  3. Step 3: Cross multiply
    4,648.50x = 6,973.15 × 1,185.74
  4. Step 4: Simplify right side
    4,648.50x = 8,268,342.88
  5. Step 5: Solve for x
    x = 8,268,342.88/4,648.50
  6. Step 6: Final answer
    x = 1,778.71

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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.