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Finding the Fourth Proportional to 6,419.63, 9,629.46 and 1,802.63

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Solution

The fourth proportional to 6,419.63, 9,629.46 and 1,802.63 is: 2,703.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.63 : 9,629.46 = 1,802.63 : x
  2. Step 2: Convert to fraction form
    6,419.63/9,629.46 = 1,802.63/x
  3. Step 3: Cross multiply
    6,419.63x = 9,629.46 × 1,802.63
  4. Step 4: Simplify right side
    6,419.63x = 17,358,305.33
  5. Step 5: Solve for x
    x = 17,358,305.33/6,419.63
  6. Step 6: Final answer
    x = 2,703.94

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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.