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Finding the Fourth Proportional to 6,312.25, 9,464.73 and 2,802.25

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Solution

The fourth proportional to 6,312.25, 9,464.73 and 2,802.25 is: 4,201.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.25 : 9,464.73 = 2,802.25 : x
  2. Step 2: Convert to fraction form
    6,312.25/9,464.73 = 2,802.25/x
  3. Step 3: Cross multiply
    6,312.25x = 9,464.73 × 2,802.25
  4. Step 4: Simplify right side
    6,312.25x = 26,522,539.64
  5. Step 5: Solve for x
    x = 26,522,539.64/6,312.25
  6. Step 6: Final answer
    x = 4,201.76

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1.5x scale

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.