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Finding the Fourth Proportional to 6,095, 8,410.90 and 3,442.36

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Solution

The fourth proportional to 6,095, 8,410.90 and 3,442.36 is: 4,750.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095 : 8,410.90 = 3,442.36 : x
  2. Step 2: Convert to fraction form
    6,095/8,410.90 = 3,442.36/x
  3. Step 3: Cross multiply
    6,095x = 8,410.90 × 3,442.36
  4. Step 4: Simplify right side
    6,095x = 28,953,345.72
  5. Step 5: Solve for x
    x = 28,953,345.72/6,095
  6. Step 6: Final answer
    x = 4,750.34

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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.