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Finding the Fourth Proportional to 4,570.80, 6,855.48 and 1,647.60

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Solution

The fourth proportional to 4,570.80, 6,855.48 and 1,647.60 is: 2,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.80 : 6,855.48 = 1,647.60 : x
  2. Step 2: Convert to fraction form
    4,570.80/6,855.48 = 1,647.60/x
  3. Step 3: Cross multiply
    4,570.80x = 6,855.48 × 1,647.60
  4. Step 4: Simplify right side
    4,570.80x = 11,295,088.85
  5. Step 5: Solve for x
    x = 11,295,088.85/4,570.80
  6. Step 6: Final answer
    x = 2,471.14

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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.