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Finding the Fourth Proportional to 11,706.56, 16,156.12 and 6,402.16

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Solution

The fourth proportional to 11,706.56, 16,156.12 and 6,402.16 is: 8,835.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.56 : 16,156.12 = 6,402.16 : x
  2. Step 2: Convert to fraction form
    11,706.56/16,156.12 = 6,402.16/x
  3. Step 3: Cross multiply
    11,706.56x = 16,156.12 × 6,402.16
  4. Step 4: Simplify right side
    11,706.56x = 103,434,065.22
  5. Step 5: Solve for x
    x = 103,434,065.22/11,706.56
  6. Step 6: Final answer
    x = 8,835.56

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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.