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Finding the Fourth Proportional to 6,026.48, 9,039.16 and 4,982.40

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Solution

The fourth proportional to 6,026.48, 9,039.16 and 4,982.40 is: 7,473.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,026.48 : 9,039.16 = 4,982.40 : x
  2. Step 2: Convert to fraction form
    6,026.48/9,039.16 = 4,982.40/x
  3. Step 3: Cross multiply
    6,026.48x = 9,039.16 × 4,982.40
  4. Step 4: Simplify right side
    6,026.48x = 45,036,710.78
  5. Step 5: Solve for x
    x = 45,036,710.78/6,026.48
  6. Step 6: Final answer
    x = 7,473.14

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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.