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Finding the Fourth Proportional to 12,625.96, 17,424.42 and 7,037

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Solution

The fourth proportional to 12,625.96, 17,424.42 and 7,037 is: 9,711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,625.96 : 17,424.42 = 7,037 : x
  2. Step 2: Convert to fraction form
    12,625.96/17,424.42 = 7,037/x
  3. Step 3: Cross multiply
    12,625.96x = 17,424.42 × 7,037
  4. Step 4: Simplify right side
    12,625.96x = 122,615,643.54
  5. Step 5: Solve for x
    x = 122,615,643.54/12,625.96
  6. Step 6: Final answer
    x = 9,711.39

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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.