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Finding the Fourth Proportional to 5,576.64, 7,676.26 and 5,051.76

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Solution

The fourth proportional to 5,576.64, 7,676.26 and 5,051.76 is: 6,953.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576.64 : 7,676.26 = 5,051.76 : x
  2. Step 2: Convert to fraction form
    5,576.64/7,676.26 = 5,051.76/x
  3. Step 3: Cross multiply
    5,576.64x = 7,676.26 × 5,051.76
  4. Step 4: Simplify right side
    5,576.64x = 38,778,623.22
  5. Step 5: Solve for x
    x = 38,778,623.22/5,576.64
  6. Step 6: Final answer
    x = 6,953.76

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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.