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Finding the Fourth Proportional to 9,602.40, 13,238.16 and 6,063.84

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Solution

The fourth proportional to 9,602.40, 13,238.16 and 6,063.84 is: 8,359.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.40 : 13,238.16 = 6,063.84 : x
  2. Step 2: Convert to fraction form
    9,602.40/13,238.16 = 6,063.84/x
  3. Step 3: Cross multiply
    9,602.40x = 13,238.16 × 6,063.84
  4. Step 4: Simplify right side
    9,602.40x = 80,274,084.13
  5. Step 5: Solve for x
    x = 80,274,084.13/9,602.40
  6. Step 6: Final answer
    x = 8,359.79

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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.