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Finding the Fourth Proportional to 14,466.50, 21,664.92 and 7,052.84

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Solution

The fourth proportional to 14,466.50, 21,664.92 and 7,052.84 is: 10,562.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,466.50 : 21,664.92 = 7,052.84 : x
  2. Step 2: Convert to fraction form
    14,466.50/21,664.92 = 7,052.84/x
  3. Step 3: Cross multiply
    14,466.50x = 21,664.92 × 7,052.84
  4. Step 4: Simplify right side
    14,466.50x = 152,799,214.37
  5. Step 5: Solve for x
    x = 152,799,214.37/14,466.50
  6. Step 6: Final answer
    x = 10,562.28

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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.