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Finding the Fourth Proportional to 4,894.85, 7,342.19 and 1,973.09

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Solution

The fourth proportional to 4,894.85, 7,342.19 and 1,973.09 is: 2,959.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.85 : 7,342.19 = 1,973.09 : x
  2. Step 2: Convert to fraction form
    4,894.85/7,342.19 = 1,973.09/x
  3. Step 3: Cross multiply
    4,894.85x = 7,342.19 × 1,973.09
  4. Step 4: Simplify right side
    4,894.85x = 14,486,817.56
  5. Step 5: Solve for x
    x = 14,486,817.56/4,894.85
  6. Step 6: Final answer
    x = 2,959.60

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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.