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Finding the Fourth Proportional to 8,216.16, 12,325.92 and 4,746.24

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Solution

The fourth proportional to 8,216.16, 12,325.92 and 4,746.24 is: 7,120.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.16 : 12,325.92 = 4,746.24 : x
  2. Step 2: Convert to fraction form
    8,216.16/12,325.92 = 4,746.24/x
  3. Step 3: Cross multiply
    8,216.16x = 12,325.92 × 4,746.24
  4. Step 4: Simplify right side
    8,216.16x = 58,501,774.54
  5. Step 5: Solve for x
    x = 58,501,774.54/8,216.16
  6. Step 6: Final answer
    x = 7,120.33

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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.