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Finding the Fourth Proportional to 4,393.77, 6,590.42 and 1,106.86

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Solution

The fourth proportional to 4,393.77, 6,590.42 and 1,106.86 is: 1,660.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,393.77 : 6,590.42 = 1,106.86 : x
  2. Step 2: Convert to fraction form
    4,393.77/6,590.42 = 1,106.86/x
  3. Step 3: Cross multiply
    4,393.77x = 6,590.42 × 1,106.86
  4. Step 4: Simplify right side
    4,393.77x = 7,294,672.28
  5. Step 5: Solve for x
    x = 7,294,672.28/4,393.77
  6. Step 6: Final answer
    x = 1,660.23

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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.