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Finding the Fourth Proportional to 9,653.34, 14,471.78 and 9,194.06

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Solution

The fourth proportional to 9,653.34, 14,471.78 and 9,194.06 is: 13,783.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.34 : 14,471.78 = 9,194.06 : x
  2. Step 2: Convert to fraction form
    9,653.34/14,471.78 = 9,194.06/x
  3. Step 3: Cross multiply
    9,653.34x = 14,471.78 × 9,194.06
  4. Step 4: Simplify right side
    9,653.34x = 133,054,413.63
  5. Step 5: Solve for x
    x = 133,054,413.63/9,653.34
  6. Step 6: Final answer
    x = 13,783.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.