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Finding the Fourth Proportional to 13,802.15, 19,046.97 and 7,514.53

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Solution

The fourth proportional to 13,802.15, 19,046.97 and 7,514.53 is: 10,370.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.15 : 19,046.97 = 7,514.53 : x
  2. Step 2: Convert to fraction form
    13,802.15/19,046.97 = 7,514.53/x
  3. Step 3: Cross multiply
    13,802.15x = 19,046.97 × 7,514.53
  4. Step 4: Simplify right side
    13,802.15x = 143,129,027.47
  5. Step 5: Solve for x
    x = 143,129,027.47/13,802.15
  6. Step 6: Final answer
    x = 10,370.05

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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.