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Finding the Fourth Proportional to 13,958.80, 19,263 and 7,585.26

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Solution

The fourth proportional to 13,958.80, 19,263 and 7,585.26 is: 10,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,958.80 : 19,263 = 7,585.26 : x
  2. Step 2: Convert to fraction form
    13,958.80/19,263 = 7,585.26/x
  3. Step 3: Cross multiply
    13,958.80x = 19,263 × 7,585.26
  4. Step 4: Simplify right side
    13,958.80x = 146,114,863.38
  5. Step 5: Solve for x
    x = 146,114,863.38/13,958.80
  6. Step 6: Final answer
    x = 10,467.58

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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.