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Finding the Fourth Proportional to 9,839.62, 13,585.08 and 7,597.54

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Solution

The fourth proportional to 9,839.62, 13,585.08 and 7,597.54 is: 10,489.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.62 : 13,585.08 = 7,597.54 : x
  2. Step 2: Convert to fraction form
    9,839.62/13,585.08 = 7,597.54/x
  3. Step 3: Cross multiply
    9,839.62x = 13,585.08 × 7,597.54
  4. Step 4: Simplify right side
    9,839.62x = 103,213,188.70
  5. Step 5: Solve for x
    x = 103,213,188.70/9,839.62
  6. Step 6: Final answer
    x = 10,489.55

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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.