Home / 4,966-7,448.06-1,455.24

Finding the Fourth Proportional to 4,966, 7,448.06 and 1,455.24

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Solution

The fourth proportional to 4,966, 7,448.06 and 1,455.24 is: 2,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966 : 7,448.06 = 1,455.24 : x
  2. Step 2: Convert to fraction form
    4,966/7,448.06 = 1,455.24/x
  3. Step 3: Cross multiply
    4,966x = 7,448.06 × 1,455.24
  4. Step 4: Simplify right side
    4,966x = 10,838,714.83
  5. Step 5: Solve for x
    x = 10,838,714.83/4,966
  6. Step 6: Final answer
    x = 2,182.58

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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.