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Finding the Fourth Proportional to 9,607.25, 13,268.94 and 6,457.97

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Solution

The fourth proportional to 9,607.25, 13,268.94 and 6,457.97 is: 8,919.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.25 : 13,268.94 = 6,457.97 : x
  2. Step 2: Convert to fraction form
    9,607.25/13,268.94 = 6,457.97/x
  3. Step 3: Cross multiply
    9,607.25x = 13,268.94 × 6,457.97
  4. Step 4: Simplify right side
    9,607.25x = 85,690,416.45
  5. Step 5: Solve for x
    x = 85,690,416.45/9,607.25
  6. Step 6: Final answer
    x = 8,919.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.