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Finding the Fourth Proportional to 4,645.96, 6,970.74 and 1,724.44

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Solution

The fourth proportional to 4,645.96, 6,970.74 and 1,724.44 is: 2,587.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.96 : 6,970.74 = 1,724.44 : x
  2. Step 2: Convert to fraction form
    4,645.96/6,970.74 = 1,724.44/x
  3. Step 3: Cross multiply
    4,645.96x = 6,970.74 × 1,724.44
  4. Step 4: Simplify right side
    4,645.96x = 12,020,622.89
  5. Step 5: Solve for x
    x = 12,020,622.89/4,645.96
  6. Step 6: Final answer
    x = 2,587.33

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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.