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Finding the Fourth Proportional to 9,716.84, 13,409.80 and 7,354.88

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Solution

The fourth proportional to 9,716.84, 13,409.80 and 7,354.88 is: 10,150.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.84 : 13,409.80 = 7,354.88 : x
  2. Step 2: Convert to fraction form
    9,716.84/13,409.80 = 7,354.88/x
  3. Step 3: Cross multiply
    9,716.84x = 13,409.80 × 7,354.88
  4. Step 4: Simplify right side
    9,716.84x = 98,627,469.82
  5. Step 5: Solve for x
    x = 98,627,469.82/9,716.84
  6. Step 6: Final answer
    x = 10,150.16

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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.