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Finding the Fourth Proportional to 6,094.40, 9,145.20 and 4,020.40

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Solution

The fourth proportional to 6,094.40, 9,145.20 and 4,020.40 is: 6,032.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.40 : 9,145.20 = 4,020.40 : x
  2. Step 2: Convert to fraction form
    6,094.40/9,145.20 = 4,020.40/x
  3. Step 3: Cross multiply
    6,094.40x = 9,145.20 × 4,020.40
  4. Step 4: Simplify right side
    6,094.40x = 36,767,362.08
  5. Step 5: Solve for x
    x = 36,767,362.08/6,094.40
  6. Step 6: Final answer
    x = 6,032.97

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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.