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Finding the Fourth Proportional to 9,832.40, 13,568.94 and 5,356.40

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Solution

The fourth proportional to 9,832.40, 13,568.94 and 5,356.40 is: 7,391.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.40 : 13,568.94 = 5,356.40 : x
  2. Step 2: Convert to fraction form
    9,832.40/13,568.94 = 5,356.40/x
  3. Step 3: Cross multiply
    9,832.40x = 13,568.94 × 5,356.40
  4. Step 4: Simplify right side
    9,832.40x = 72,680,670.22
  5. Step 5: Solve for x
    x = 72,680,670.22/9,832.40
  6. Step 6: Final answer
    x = 7,391.96

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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.