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Finding the Fourth Proportional to 11,298.96, 16,953.24 and 8,706.96

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Solution

The fourth proportional to 11,298.96, 16,953.24 and 8,706.96 is: 13,064.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298.96 : 16,953.24 = 8,706.96 : x
  2. Step 2: Convert to fraction form
    11,298.96/16,953.24 = 8,706.96/x
  3. Step 3: Cross multiply
    11,298.96x = 16,953.24 × 8,706.96
  4. Step 4: Simplify right side
    11,298.96x = 147,611,182.55
  5. Step 5: Solve for x
    x = 147,611,182.55/11,298.96
  6. Step 6: Final answer
    x = 13,064.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.