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Finding the Fourth Proportional to 8,462.98, 12,693.57 and 3,783.16

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Solution

The fourth proportional to 8,462.98, 12,693.57 and 3,783.16 is: 5,674.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.98 : 12,693.57 = 3,783.16 : x
  2. Step 2: Convert to fraction form
    8,462.98/12,693.57 = 3,783.16/x
  3. Step 3: Cross multiply
    8,462.98x = 12,693.57 × 3,783.16
  4. Step 4: Simplify right side
    8,462.98x = 48,021,806.28
  5. Step 5: Solve for x
    x = 48,021,806.28/8,462.98
  6. Step 6: Final answer
    x = 5,674.34

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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.