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Finding the Fourth Proportional to 9,839.44, 13,565.16 and 9,533.68

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Solution

The fourth proportional to 9,839.44, 13,565.16 and 9,533.68 is: 13,143.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.44 : 13,565.16 = 9,533.68 : x
  2. Step 2: Convert to fraction form
    9,839.44/13,565.16 = 9,533.68/x
  3. Step 3: Cross multiply
    9,839.44x = 13,565.16 × 9,533.68
  4. Step 4: Simplify right side
    9,839.44x = 129,325,894.59
  5. Step 5: Solve for x
    x = 129,325,894.59/9,839.44
  6. Step 6: Final answer
    x = 13,143.62

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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.