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Finding the Fourth Proportional to 14,143.80, 21,223.80 and 9,764.40

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Solution

The fourth proportional to 14,143.80, 21,223.80 and 9,764.40 is: 14,652.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143.80 : 21,223.80 = 9,764.40 : x
  2. Step 2: Convert to fraction form
    14,143.80/21,223.80 = 9,764.40/x
  3. Step 3: Cross multiply
    14,143.80x = 21,223.80 × 9,764.40
  4. Step 4: Simplify right side
    14,143.80x = 207,237,672.72
  5. Step 5: Solve for x
    x = 207,237,672.72/14,143.80
  6. Step 6: Final answer
    x = 14,652.19

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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.