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Finding the Fourth Proportional to 9,164.94, 13,739.71 and 6,383.40

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Solution

The fourth proportional to 9,164.94, 13,739.71 and 6,383.40 is: 9,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.94 : 13,739.71 = 6,383.40 : x
  2. Step 2: Convert to fraction form
    9,164.94/13,739.71 = 6,383.40/x
  3. Step 3: Cross multiply
    9,164.94x = 13,739.71 × 6,383.40
  4. Step 4: Simplify right side
    9,164.94x = 87,706,064.81
  5. Step 5: Solve for x
    x = 87,706,064.81/9,164.94
  6. Step 6: Final answer
    x = 9,569.74

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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.