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Finding the Fourth Proportional to 9,295.70, 13,941.50 and 2,722.40

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Solution

The fourth proportional to 9,295.70, 13,941.50 and 2,722.40 is: 4,083.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.70 : 13,941.50 = 2,722.40 : x
  2. Step 2: Convert to fraction form
    9,295.70/13,941.50 = 2,722.40/x
  3. Step 3: Cross multiply
    9,295.70x = 13,941.50 × 2,722.40
  4. Step 4: Simplify right side
    9,295.70x = 37,954,346.41
  5. Step 5: Solve for x
    x = 37,954,346.41/9,295.70
  6. Step 6: Final answer
    x = 4,083.00

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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.