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Finding the Fourth Proportional to 14,455, 19,952.04 and 9,684.12

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Solution

The fourth proportional to 14,455, 19,952.04 and 9,684.12 is: 13,366.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,455 : 19,952.04 = 9,684.12 : x
  2. Step 2: Convert to fraction form
    14,455/19,952.04 = 9,684.12/x
  3. Step 3: Cross multiply
    14,455x = 19,952.04 × 9,684.12
  4. Step 4: Simplify right side
    14,455x = 193,217,949.60
  5. Step 5: Solve for x
    x = 193,217,949.60/14,455
  6. Step 6: Final answer
    x = 13,366.86

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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.