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Finding the Fourth Proportional to 10,676.70, 14,740.71 and 6,905.65

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Solution

The fourth proportional to 10,676.70, 14,740.71 and 6,905.65 is: 9,534.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.70 : 14,740.71 = 6,905.65 : x
  2. Step 2: Convert to fraction form
    10,676.70/14,740.71 = 6,905.65/x
  3. Step 3: Cross multiply
    10,676.70x = 14,740.71 × 6,905.65
  4. Step 4: Simplify right side
    10,676.70x = 101,794,184.01
  5. Step 5: Solve for x
    x = 101,794,184.01/10,676.70
  6. Step 6: Final answer
    x = 9,534.24

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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.