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Finding the Fourth Proportional to 13,525.46, 18,677 and 8,498.40

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Solution

The fourth proportional to 13,525.46, 18,677 and 8,498.40 is: 11,735.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,525.46 : 18,677 = 8,498.40 : x
  2. Step 2: Convert to fraction form
    13,525.46/18,677 = 8,498.40/x
  3. Step 3: Cross multiply
    13,525.46x = 18,677 × 8,498.40
  4. Step 4: Simplify right side
    13,525.46x = 158,724,616.80
  5. Step 5: Solve for x
    x = 158,724,616.80/13,525.46
  6. Step 6: Final answer
    x = 11,735.25

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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.