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Finding the Fourth Proportional to 6,304.86, 9,457.47 and 1,922.32

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Solution

The fourth proportional to 6,304.86, 9,457.47 and 1,922.32 is: 2,883.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.86 : 9,457.47 = 1,922.32 : x
  2. Step 2: Convert to fraction form
    6,304.86/9,457.47 = 1,922.32/x
  3. Step 3: Cross multiply
    6,304.86x = 9,457.47 × 1,922.32
  4. Step 4: Simplify right side
    6,304.86x = 18,180,283.73
  5. Step 5: Solve for x
    x = 18,180,283.73/6,304.86
  6. Step 6: Final answer
    x = 2,883.53

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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.