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Finding the Fourth Proportional to 5,203.32, 7,804.98 and 3,147

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Solution

The fourth proportional to 5,203.32, 7,804.98 and 3,147 is: 4,720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.32 : 7,804.98 = 3,147 : x
  2. Step 2: Convert to fraction form
    5,203.32/7,804.98 = 3,147/x
  3. Step 3: Cross multiply
    5,203.32x = 7,804.98 × 3,147
  4. Step 4: Simplify right side
    5,203.32x = 24,562,272.06
  5. Step 5: Solve for x
    x = 24,562,272.06/5,203.32
  6. Step 6: Final answer
    x = 4,720.50

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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.