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Finding the Fourth Proportional to 13,051.36, 18,010.56 and 7,462

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Solution

The fourth proportional to 13,051.36, 18,010.56 and 7,462 is: 10,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,051.36 : 18,010.56 = 7,462 : x
  2. Step 2: Convert to fraction form
    13,051.36/18,010.56 = 7,462/x
  3. Step 3: Cross multiply
    13,051.36x = 18,010.56 × 7,462
  4. Step 4: Simplify right side
    13,051.36x = 134,394,798.72
  5. Step 5: Solve for x
    x = 134,394,798.72/13,051.36
  6. Step 6: Final answer
    x = 10,297.38

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Double scale
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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.