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Finding the Fourth Proportional to 9,677.03, 14,496.11 and 8,189.87

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Solution

The fourth proportional to 9,677.03, 14,496.11 and 8,189.87 is: 12,268.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.03 : 14,496.11 = 8,189.87 : x
  2. Step 2: Convert to fraction form
    9,677.03/14,496.11 = 8,189.87/x
  3. Step 3: Cross multiply
    9,677.03x = 14,496.11 × 8,189.87
  4. Step 4: Simplify right side
    9,677.03x = 118,721,215.46
  5. Step 5: Solve for x
    x = 118,721,215.46/9,677.03
  6. Step 6: Final answer
    x = 12,268.35

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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.