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Finding the Fourth Proportional to 8,230.98, 12,345.18 and 3,035.64

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Solution

The fourth proportional to 8,230.98, 12,345.18 and 3,035.64 is: 4,552.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.98 : 12,345.18 = 3,035.64 : x
  2. Step 2: Convert to fraction form
    8,230.98/12,345.18 = 3,035.64/x
  3. Step 3: Cross multiply
    8,230.98x = 12,345.18 × 3,035.64
  4. Step 4: Simplify right side
    8,230.98x = 37,475,522.22
  5. Step 5: Solve for x
    x = 37,475,522.22/8,230.98
  6. Step 6: Final answer
    x = 4,552.98

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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.