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Finding the Fourth Proportional to 7,204.35, 9,941.81 and 4,017.74

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Solution

The fourth proportional to 7,204.35, 9,941.81 and 4,017.74 is: 5,544.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.35 : 9,941.81 = 4,017.74 : x
  2. Step 2: Convert to fraction form
    7,204.35/9,941.81 = 4,017.74/x
  3. Step 3: Cross multiply
    7,204.35x = 9,941.81 × 4,017.74
  4. Step 4: Simplify right side
    7,204.35x = 39,943,612.48
  5. Step 5: Solve for x
    x = 39,943,612.48/7,204.35
  6. Step 6: Final answer
    x = 5,544.37

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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.