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Finding the Fourth Proportional to 12,701.61, 17,539.74 and 8,232.84

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Solution

The fourth proportional to 12,701.61, 17,539.74 and 8,232.84 is: 11,368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,701.61 : 17,539.74 = 8,232.84 : x
  2. Step 2: Convert to fraction form
    12,701.61/17,539.74 = 8,232.84/x
  3. Step 3: Cross multiply
    12,701.61x = 17,539.74 × 8,232.84
  4. Step 4: Simplify right side
    12,701.61x = 144,401,873.06
  5. Step 5: Solve for x
    x = 144,401,873.06/12,701.61
  6. Step 6: Final answer
    x = 11,368.78

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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.