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Finding the Fourth Proportional to 5,673.80, 8,514.61 and 1,976.06

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Solution

The fourth proportional to 5,673.80, 8,514.61 and 1,976.06 is: 2,965.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.80 : 8,514.61 = 1,976.06 : x
  2. Step 2: Convert to fraction form
    5,673.80/8,514.61 = 1,976.06/x
  3. Step 3: Cross multiply
    5,673.80x = 8,514.61 × 1,976.06
  4. Step 4: Simplify right side
    5,673.80x = 16,825,332.72
  5. Step 5: Solve for x
    x = 16,825,332.72/5,673.80
  6. Step 6: Final answer
    x = 2,965.45

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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.