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Finding the Fourth Proportional to 9,676.48, 14,489.90 and 6,710.70

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Solution

The fourth proportional to 9,676.48, 14,489.90 and 6,710.70 is: 10,048.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.48 : 14,489.90 = 6,710.70 : x
  2. Step 2: Convert to fraction form
    9,676.48/14,489.90 = 6,710.70/x
  3. Step 3: Cross multiply
    9,676.48x = 14,489.90 × 6,710.70
  4. Step 4: Simplify right side
    9,676.48x = 97,237,371.93
  5. Step 5: Solve for x
    x = 97,237,371.93/9,676.48
  6. Step 6: Final answer
    x = 10,048.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.