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Finding the Fourth Proportional to 9,597.64, 13,245.80 and 5,820.60

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Solution

The fourth proportional to 9,597.64, 13,245.80 and 5,820.60 is: 8,033.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.64 : 13,245.80 = 5,820.60 : x
  2. Step 2: Convert to fraction form
    9,597.64/13,245.80 = 5,820.60/x
  3. Step 3: Cross multiply
    9,597.64x = 13,245.80 × 5,820.60
  4. Step 4: Simplify right side
    9,597.64x = 77,098,503.48
  5. Step 5: Solve for x
    x = 77,098,503.48/9,597.64
  6. Step 6: Final answer
    x = 8,033.07

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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.