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Finding the Fourth Proportional to 4,522.77, 6,784.16 and 1,235.90

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Solution

The fourth proportional to 4,522.77, 6,784.16 and 1,235.90 is: 1,853.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522.77 : 6,784.16 = 1,235.90 : x
  2. Step 2: Convert to fraction form
    4,522.77/6,784.16 = 1,235.90/x
  3. Step 3: Cross multiply
    4,522.77x = 6,784.16 × 1,235.90
  4. Step 4: Simplify right side
    4,522.77x = 8,384,503.24
  5. Step 5: Solve for x
    x = 8,384,503.24/4,522.77
  6. Step 6: Final answer
    x = 1,853.84

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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.