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Finding the Fourth Proportional to 6,180.80, 9,271.20 and 1,563.80

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Solution

The fourth proportional to 6,180.80, 9,271.20 and 1,563.80 is: 2,345.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.80 : 9,271.20 = 1,563.80 : x
  2. Step 2: Convert to fraction form
    6,180.80/9,271.20 = 1,563.80/x
  3. Step 3: Cross multiply
    6,180.80x = 9,271.20 × 1,563.80
  4. Step 4: Simplify right side
    6,180.80x = 14,498,302.56
  5. Step 5: Solve for x
    x = 14,498,302.56/6,180.80
  6. Step 6: Final answer
    x = 2,345.70

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Double scale
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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.