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Finding the Fourth Proportional to 14,477.70, 21,753 and 9,215.13

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Solution

The fourth proportional to 14,477.70, 21,753 and 9,215.13 is: 13,845.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,477.70 : 21,753 = 9,215.13 : x
  2. Step 2: Convert to fraction form
    14,477.70/21,753 = 9,215.13/x
  3. Step 3: Cross multiply
    14,477.70x = 21,753 × 9,215.13
  4. Step 4: Simplify right side
    14,477.70x = 200,456,722.89
  5. Step 5: Solve for x
    x = 200,456,722.89/14,477.70
  6. Step 6: Final answer
    x = 13,845.90

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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.