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Finding the Fourth Proportional to 6,145.81, 9,218.78 and 1,528.81

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Solution

The fourth proportional to 6,145.81, 9,218.78 and 1,528.81 is: 2,293.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.81 : 9,218.78 = 1,528.81 : x
  2. Step 2: Convert to fraction form
    6,145.81/9,218.78 = 1,528.81/x
  3. Step 3: Cross multiply
    6,145.81x = 9,218.78 × 1,528.81
  4. Step 4: Simplify right side
    6,145.81x = 14,093,763.05
  5. Step 5: Solve for x
    x = 14,093,763.05/6,145.81
  6. Step 6: Final answer
    x = 2,293.23

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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.