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Finding the Fourth Proportional to 10,676.70, 14,740.62 and 6,901.68

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Solution

The fourth proportional to 10,676.70, 14,740.62 and 6,901.68 is: 9,528.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.70 : 14,740.62 = 6,901.68 : x
  2. Step 2: Convert to fraction form
    10,676.70/14,740.62 = 6,901.68/x
  3. Step 3: Cross multiply
    10,676.70x = 14,740.62 × 6,901.68
  4. Step 4: Simplify right side
    10,676.70x = 101,735,042.24
  5. Step 5: Solve for x
    x = 101,735,042.24/10,676.70
  6. Step 6: Final answer
    x = 9,528.70

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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.