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Finding the Fourth Proportional to 9,706, 14,625.10 and 8,645.12

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Solution

The fourth proportional to 9,706, 14,625.10 and 8,645.12 is: 13,026.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706 : 14,625.10 = 8,645.12 : x
  2. Step 2: Convert to fraction form
    9,706/14,625.10 = 8,645.12/x
  3. Step 3: Cross multiply
    9,706x = 14,625.10 × 8,645.12
  4. Step 4: Simplify right side
    9,706x = 126,435,744.51
  5. Step 5: Solve for x
    x = 126,435,744.51/9,706
  6. Step 6: Final answer
    x = 13,026.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.