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Finding the Fourth Proportional to 6,551.04, 9,820 and 3,043.51

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Solution

The fourth proportional to 6,551.04, 9,820 and 3,043.51 is: 4,562.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.04 : 9,820 = 3,043.51 : x
  2. Step 2: Convert to fraction form
    6,551.04/9,820 = 3,043.51/x
  3. Step 3: Cross multiply
    6,551.04x = 9,820 × 3,043.51
  4. Step 4: Simplify right side
    6,551.04x = 29,887,268.20
  5. Step 5: Solve for x
    x = 29,887,268.20/6,551.04
  6. Step 6: Final answer
    x = 4,562.22

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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.