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Finding the Fourth Proportional to 9,673.70, 13,346.73 and 6,265.31

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Solution

The fourth proportional to 9,673.70, 13,346.73 and 6,265.31 is: 8,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.70 : 13,346.73 = 6,265.31 : x
  2. Step 2: Convert to fraction form
    9,673.70/13,346.73 = 6,265.31/x
  3. Step 3: Cross multiply
    9,673.70x = 13,346.73 × 6,265.31
  4. Step 4: Simplify right side
    9,673.70x = 83,621,334.20
  5. Step 5: Solve for x
    x = 83,621,334.20/9,673.70
  6. Step 6: Final answer
    x = 8,644.20

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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.