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Finding the Fourth Proportional to 5,674.60, 8,506.41 and 1,974.07

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Solution

The fourth proportional to 5,674.60, 8,506.41 and 1,974.07 is: 2,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.60 : 8,506.41 = 1,974.07 : x
  2. Step 2: Convert to fraction form
    5,674.60/8,506.41 = 1,974.07/x
  3. Step 3: Cross multiply
    5,674.60x = 8,506.41 × 1,974.07
  4. Step 4: Simplify right side
    5,674.60x = 16,792,248.79
  5. Step 5: Solve for x
    x = 16,792,248.79/5,674.60
  6. Step 6: Final answer
    x = 2,959.20

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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.