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Finding the Fourth Proportional to 9,597.83, 13,244.07 and 7,081.30

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Solution

The fourth proportional to 9,597.83, 13,244.07 and 7,081.30 is: 9,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.83 : 13,244.07 = 7,081.30 : x
  2. Step 2: Convert to fraction form
    9,597.83/13,244.07 = 7,081.30/x
  3. Step 3: Cross multiply
    9,597.83x = 13,244.07 × 7,081.30
  4. Step 4: Simplify right side
    9,597.83x = 93,785,232.89
  5. Step 5: Solve for x
    x = 93,785,232.89/9,597.83
  6. Step 6: Final answer
    x = 9,771.50

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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.