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Finding the Fourth Proportional to 9,935, 13,709.81 and 5,955.34

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Solution

The fourth proportional to 9,935, 13,709.81 and 5,955.34 is: 8,218.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935 : 13,709.81 = 5,955.34 : x
  2. Step 2: Convert to fraction form
    9,935/13,709.81 = 5,955.34/x
  3. Step 3: Cross multiply
    9,935x = 13,709.81 × 5,955.34
  4. Step 4: Simplify right side
    9,935x = 81,646,579.89
  5. Step 5: Solve for x
    x = 81,646,579.89/9,935
  6. Step 6: Final answer
    x = 8,218.08

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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.