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Finding the Fourth Proportional to 9,771.39, 13,475.79 and 7,671.87

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Solution

The fourth proportional to 9,771.39, 13,475.79 and 7,671.87 is: 10,580.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.39 : 13,475.79 = 7,671.87 : x
  2. Step 2: Convert to fraction form
    9,771.39/13,475.79 = 7,671.87/x
  3. Step 3: Cross multiply
    9,771.39x = 13,475.79 × 7,671.87
  4. Step 4: Simplify right side
    9,771.39x = 103,384,509.03
  5. Step 5: Solve for x
    x = 103,384,509.03/9,771.39
  6. Step 6: Final answer
    x = 10,580.33

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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.