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Finding the Fourth Proportional to 11,735, 16,194.31 and 6,430.02

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Solution

The fourth proportional to 11,735, 16,194.31 and 6,430.02 is: 8,873.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735 : 16,194.31 = 6,430.02 : x
  2. Step 2: Convert to fraction form
    11,735/16,194.31 = 6,430.02/x
  3. Step 3: Cross multiply
    11,735x = 16,194.31 × 6,430.02
  4. Step 4: Simplify right side
    11,735x = 104,129,705.04
  5. Step 5: Solve for x
    x = 104,129,705.04/11,735
  6. Step 6: Final answer
    x = 8,873.43

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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.