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Finding the Fourth Proportional to 6,323.66, 9,485.49 and 3,743

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Solution

The fourth proportional to 6,323.66, 9,485.49 and 3,743 is: 5,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.66 : 9,485.49 = 3,743 : x
  2. Step 2: Convert to fraction form
    6,323.66/9,485.49 = 3,743/x
  3. Step 3: Cross multiply
    6,323.66x = 9,485.49 × 3,743
  4. Step 4: Simplify right side
    6,323.66x = 35,504,189.07
  5. Step 5: Solve for x
    x = 35,504,189.07/6,323.66
  6. Step 6: Final answer
    x = 5,614.50

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Half scale
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Double scale
Find fourth proportional to 6,324.66, 9,486.99 and 3,744
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.