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Finding the Fourth Proportional to 8,389.56, 12,584.40 and 2,842.98

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Solution

The fourth proportional to 8,389.56, 12,584.40 and 2,842.98 is: 4,264.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.56 : 12,584.40 = 2,842.98 : x
  2. Step 2: Convert to fraction form
    8,389.56/12,584.40 = 2,842.98/x
  3. Step 3: Cross multiply
    8,389.56x = 12,584.40 × 2,842.98
  4. Step 4: Simplify right side
    8,389.56x = 35,777,197.51
  5. Step 5: Solve for x
    x = 35,777,197.51/8,389.56
  6. Step 6: Final answer
    x = 4,264.49

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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.