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Finding the Fourth Proportional to 14,409.54, 21,564.09 and 9,971.82

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Solution

The fourth proportional to 14,409.54, 21,564.09 and 9,971.82 is: 14,922.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409.54 : 21,564.09 = 9,971.82 : x
  2. Step 2: Convert to fraction form
    14,409.54/21,564.09 = 9,971.82/x
  3. Step 3: Cross multiply
    14,409.54x = 21,564.09 × 9,971.82
  4. Step 4: Simplify right side
    14,409.54x = 215,033,223.94
  5. Step 5: Solve for x
    x = 215,033,223.94/14,409.54
  6. Step 6: Final answer
    x = 14,922.98

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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.