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Finding the Fourth Proportional to 14,609.40, 21,881.70 and 7,675.80

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Solution

The fourth proportional to 14,609.40, 21,881.70 and 7,675.80 is: 11,496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609.40 : 21,881.70 = 7,675.80 : x
  2. Step 2: Convert to fraction form
    14,609.40/21,881.70 = 7,675.80/x
  3. Step 3: Cross multiply
    14,609.40x = 21,881.70 × 7,675.80
  4. Step 4: Simplify right side
    14,609.40x = 167,959,552.86
  5. Step 5: Solve for x
    x = 167,959,552.86/14,609.40
  6. Step 6: Final answer
    x = 11,496.68

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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.