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Finding the Fourth Proportional to 6,482.22, 9,722.52 and 1,802.58

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Solution

The fourth proportional to 6,482.22, 9,722.52 and 1,802.58 is: 2,703.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.22 : 9,722.52 = 1,802.58 : x
  2. Step 2: Convert to fraction form
    6,482.22/9,722.52 = 1,802.58/x
  3. Step 3: Cross multiply
    6,482.22x = 9,722.52 × 1,802.58
  4. Step 4: Simplify right side
    6,482.22x = 17,525,620.10
  5. Step 5: Solve for x
    x = 17,525,620.10/6,482.22
  6. Step 6: Final answer
    x = 2,703.64

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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.