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Finding the Fourth Proportional to 7,713.98, 11,567.52 and 2,447.49

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Solution

The fourth proportional to 7,713.98, 11,567.52 and 2,447.49 is: 3,670.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.98 : 11,567.52 = 2,447.49 : x
  2. Step 2: Convert to fraction form
    7,713.98/11,567.52 = 2,447.49/x
  3. Step 3: Cross multiply
    7,713.98x = 11,567.52 × 2,447.49
  4. Step 4: Simplify right side
    7,713.98x = 28,311,389.52
  5. Step 5: Solve for x
    x = 28,311,389.52/7,713.98
  6. Step 6: Final answer
    x = 3,670.14

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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.