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Finding the Fourth Proportional to 13,802.27, 19,046.99 and 7,514.64

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Solution

The fourth proportional to 13,802.27, 19,046.99 and 7,514.64 is: 10,370.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.27 : 19,046.99 = 7,514.64 : x
  2. Step 2: Convert to fraction form
    13,802.27/19,046.99 = 7,514.64/x
  3. Step 3: Cross multiply
    13,802.27x = 19,046.99 × 7,514.64
  4. Step 4: Simplify right side
    13,802.27x = 143,131,291.72
  5. Step 5: Solve for x
    x = 143,131,291.72/13,802.27
  6. Step 6: Final answer
    x = 10,370.13

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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.