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Finding the Fourth Proportional to 6,410.63, 9,617.56 and 1,968.51

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Solution

The fourth proportional to 6,410.63, 9,617.56 and 1,968.51 is: 2,953.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.63 : 9,617.56 = 1,968.51 : x
  2. Step 2: Convert to fraction form
    6,410.63/9,617.56 = 1,968.51/x
  3. Step 3: Cross multiply
    6,410.63x = 9,617.56 × 1,968.51
  4. Step 4: Simplify right side
    6,410.63x = 18,932,263.04
  5. Step 5: Solve for x
    x = 18,932,263.04/6,410.63
  6. Step 6: Final answer
    x = 2,953.26

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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.