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Finding the Fourth Proportional to 7,030, 10,546.62 and 2,413

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Solution

The fourth proportional to 7,030, 10,546.62 and 2,413 is: 3,620.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,030 : 10,546.62 = 2,413 : x
  2. Step 2: Convert to fraction form
    7,030/10,546.62 = 2,413/x
  3. Step 3: Cross multiply
    7,030x = 10,546.62 × 2,413
  4. Step 4: Simplify right side
    7,030x = 25,448,994.06
  5. Step 5: Solve for x
    x = 25,448,994.06/7,030
  6. Step 6: Final answer
    x = 3,620.06

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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.