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Finding the Fourth Proportional to 8,402.50, 12,605.63 and 2,559.57

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Solution

The fourth proportional to 8,402.50, 12,605.63 and 2,559.57 is: 3,839.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.50 : 12,605.63 = 2,559.57 : x
  2. Step 2: Convert to fraction form
    8,402.50/12,605.63 = 2,559.57/x
  3. Step 3: Cross multiply
    8,402.50x = 12,605.63 × 2,559.57
  4. Step 4: Simplify right side
    8,402.50x = 32,264,992.38
  5. Step 5: Solve for x
    x = 32,264,992.38/8,402.50
  6. Step 6: Final answer
    x = 3,839.93

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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.