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Finding the Fourth Proportional to 14,277, 19,709.10 and 9,504.90

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Solution

The fourth proportional to 14,277, 19,709.10 and 9,504.90 is: 13,121.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,277 : 19,709.10 = 9,504.90 : x
  2. Step 2: Convert to fraction form
    14,277/19,709.10 = 9,504.90/x
  3. Step 3: Cross multiply
    14,277x = 19,709.10 × 9,504.90
  4. Step 4: Simplify right side
    14,277x = 187,333,024.59
  5. Step 5: Solve for x
    x = 187,333,024.59/14,277
  6. Step 6: Final answer
    x = 13,121.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.