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Finding the Fourth Proportional to 5,597.40, 8,405.70 and 5,424.60

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Solution

The fourth proportional to 5,597.40, 8,405.70 and 5,424.60 is: 8,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.40 : 8,405.70 = 5,424.60 : x
  2. Step 2: Convert to fraction form
    5,597.40/8,405.70 = 5,424.60/x
  3. Step 3: Cross multiply
    5,597.40x = 8,405.70 × 5,424.60
  4. Step 4: Simplify right side
    5,597.40x = 45,597,560.22
  5. Step 5: Solve for x
    x = 45,597,560.22/5,597.40
  6. Step 6: Final answer
    x = 8,146.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.