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Finding the Fourth Proportional to 13,488.09, 18,616 and 8,456.68

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Solution

The fourth proportional to 13,488.09, 18,616 and 8,456.68 is: 11,671.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488.09 : 18,616 = 8,456.68 : x
  2. Step 2: Convert to fraction form
    13,488.09/18,616 = 8,456.68/x
  3. Step 3: Cross multiply
    13,488.09x = 18,616 × 8,456.68
  4. Step 4: Simplify right side
    13,488.09x = 157,429,461.80
  5. Step 5: Solve for x
    x = 157,429,461.80/13,488.09
  6. Step 6: Final answer
    x = 11,671.74

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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.