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Finding the Fourth Proportional to 6,242.64, 9,362.84 and 1,859.02

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Solution

The fourth proportional to 6,242.64, 9,362.84 and 1,859.02 is: 2,788.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.64 : 9,362.84 = 1,859.02 : x
  2. Step 2: Convert to fraction form
    6,242.64/9,362.84 = 1,859.02/x
  3. Step 3: Cross multiply
    6,242.64x = 9,362.84 × 1,859.02
  4. Step 4: Simplify right side
    6,242.64x = 17,405,706.82
  5. Step 5: Solve for x
    x = 17,405,706.82/6,242.64
  6. Step 6: Final answer
    x = 2,788.20

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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.