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Finding the Fourth Proportional to 10,700.06, 14,770.01 and 8,042.85

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Solution

The fourth proportional to 10,700.06, 14,770.01 and 8,042.85 is: 11,102.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.06 : 14,770.01 = 8,042.85 : x
  2. Step 2: Convert to fraction form
    10,700.06/14,770.01 = 8,042.85/x
  3. Step 3: Cross multiply
    10,700.06x = 14,770.01 × 8,042.85
  4. Step 4: Simplify right side
    10,700.06x = 118,792,995.04
  5. Step 5: Solve for x
    x = 118,792,995.04/10,700.06
  6. Step 6: Final answer
    x = 11,102.09

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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.