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Finding the Fourth Proportional to 10,706.86, 14,775.15 and 5,927.14

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Solution

The fourth proportional to 10,706.86, 14,775.15 and 5,927.14 is: 8,179.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.86 : 14,775.15 = 5,927.14 : x
  2. Step 2: Convert to fraction form
    10,706.86/14,775.15 = 5,927.14/x
  3. Step 3: Cross multiply
    10,706.86x = 14,775.15 × 5,927.14
  4. Step 4: Simplify right side
    10,706.86x = 87,574,382.57
  5. Step 5: Solve for x
    x = 87,574,382.57/10,706.86
  6. Step 6: Final answer
    x = 8,179.28

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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.