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Finding the Fourth Proportional to 4,661.57, 6,992.36 and 1,700.24

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Solution

The fourth proportional to 4,661.57, 6,992.36 and 1,700.24 is: 2,550.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.57 : 6,992.36 = 1,700.24 : x
  2. Step 2: Convert to fraction form
    4,661.57/6,992.36 = 1,700.24/x
  3. Step 3: Cross multiply
    4,661.57x = 6,992.36 × 1,700.24
  4. Step 4: Simplify right side
    4,661.57x = 11,888,646.70
  5. Step 5: Solve for x
    x = 11,888,646.70/4,661.57
  6. Step 6: Final answer
    x = 2,550.35

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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.