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Finding the Fourth Proportional to 9,715.14, 13,400.64 and 5,736.02

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Solution

The fourth proportional to 9,715.14, 13,400.64 and 5,736.02 is: 7,912.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.14 : 13,400.64 = 5,736.02 : x
  2. Step 2: Convert to fraction form
    9,715.14/13,400.64 = 5,736.02/x
  3. Step 3: Cross multiply
    9,715.14x = 13,400.64 × 5,736.02
  4. Step 4: Simplify right side
    9,715.14x = 76,866,272.05
  5. Step 5: Solve for x
    x = 76,866,272.05/9,715.14
  6. Step 6: Final answer
    x = 7,912.01

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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.