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Finding the Fourth Proportional to 9,571.32, 13,204.08 and 6,914.52

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Solution

The fourth proportional to 9,571.32, 13,204.08 and 6,914.52 is: 9,538.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.32 : 13,204.08 = 6,914.52 : x
  2. Step 2: Convert to fraction form
    9,571.32/13,204.08 = 6,914.52/x
  3. Step 3: Cross multiply
    9,571.32x = 13,204.08 × 6,914.52
  4. Step 4: Simplify right side
    9,571.32x = 91,299,875.24
  5. Step 5: Solve for x
    x = 91,299,875.24/9,571.32
  6. Step 6: Final answer
    x = 9,538.90

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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.