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Finding the Fourth Proportional to 6,180.76, 9,271.14 and 1,563.76

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Solution

The fourth proportional to 6,180.76, 9,271.14 and 1,563.76 is: 2,345.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.76 : 9,271.14 = 1,563.76 : x
  2. Step 2: Convert to fraction form
    6,180.76/9,271.14 = 1,563.76/x
  3. Step 3: Cross multiply
    6,180.76x = 9,271.14 × 1,563.76
  4. Step 4: Simplify right side
    6,180.76x = 14,497,837.89
  5. Step 5: Solve for x
    x = 14,497,837.89/6,180.76
  6. Step 6: Final answer
    x = 2,345.64

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Half scale
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Double scale
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Similar ratio
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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.