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Finding the Fourth Proportional to 6,275.74, 8,661 and 3,481.24

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Solution

The fourth proportional to 6,275.74, 8,661 and 3,481.24 is: 4,804.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.74 : 8,661 = 3,481.24 : x
  2. Step 2: Convert to fraction form
    6,275.74/8,661 = 3,481.24/x
  3. Step 3: Cross multiply
    6,275.74x = 8,661 × 3,481.24
  4. Step 4: Simplify right side
    6,275.74x = 30,151,019.64
  5. Step 5: Solve for x
    x = 30,151,019.64/6,275.74
  6. Step 6: Final answer
    x = 4,804.38

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Half scale
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Double scale
Find fourth proportional to 6,276.74, 8,662.38 and 3,482.24
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.