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Finding the Fourth Proportional to 6,442.40, 8,889.90 and 3,647.90

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Solution

The fourth proportional to 6,442.40, 8,889.90 and 3,647.90 is: 5,033.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.40 : 8,889.90 = 3,647.90 : x
  2. Step 2: Convert to fraction form
    6,442.40/8,889.90 = 3,647.90/x
  3. Step 3: Cross multiply
    6,442.40x = 8,889.90 × 3,647.90
  4. Step 4: Simplify right side
    6,442.40x = 32,429,421.76
  5. Step 5: Solve for x
    x = 32,429,421.76/6,442.40
  6. Step 6: Final answer
    x = 5,033.75

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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.