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Finding the Fourth Proportional to 9,597.46, 13,245.16 and 5,820.78

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Solution

The fourth proportional to 9,597.46, 13,245.16 and 5,820.78 is: 8,033.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.46 : 13,245.16 = 5,820.78 : x
  2. Step 2: Convert to fraction form
    9,597.46/13,245.16 = 5,820.78/x
  3. Step 3: Cross multiply
    9,597.46x = 13,245.16 × 5,820.78
  4. Step 4: Simplify right side
    9,597.46x = 77,097,197.54
  5. Step 5: Solve for x
    x = 77,097,197.54/9,597.46
  6. Step 6: Final answer
    x = 8,033.09

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Double scale
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Similar ratio
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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.