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Finding the Fourth Proportional to 9,774.42, 13,476.02 and 6,231.48

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Solution

The fourth proportional to 9,774.42, 13,476.02 and 6,231.48 is: 8,591.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.42 : 13,476.02 = 6,231.48 : x
  2. Step 2: Convert to fraction form
    9,774.42/13,476.02 = 6,231.48/x
  3. Step 3: Cross multiply
    9,774.42x = 13,476.02 × 6,231.48
  4. Step 4: Simplify right side
    9,774.42x = 83,975,517.95
  5. Step 5: Solve for x
    x = 83,975,517.95/9,774.42
  6. Step 6: Final answer
    x = 8,591.36

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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.