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Finding the Fourth Proportional to 5,247.94, 7,870.77 and 1,549.54

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Solution

The fourth proportional to 5,247.94, 7,870.77 and 1,549.54 is: 2,323.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.94 : 7,870.77 = 1,549.54 : x
  2. Step 2: Convert to fraction form
    5,247.94/7,870.77 = 1,549.54/x
  3. Step 3: Cross multiply
    5,247.94x = 7,870.77 × 1,549.54
  4. Step 4: Simplify right side
    5,247.94x = 12,196,072.95
  5. Step 5: Solve for x
    x = 12,196,072.95/5,247.94
  6. Step 6: Final answer
    x = 2,323.97

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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.