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Finding the Fourth Proportional to 11,676.78, 16,108.11 and 6,957.72

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Solution

The fourth proportional to 11,676.78, 16,108.11 and 6,957.72 is: 9,598.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.78 : 16,108.11 = 6,957.72 : x
  2. Step 2: Convert to fraction form
    11,676.78/16,108.11 = 6,957.72/x
  3. Step 3: Cross multiply
    11,676.78x = 16,108.11 × 6,957.72
  4. Step 4: Simplify right side
    11,676.78x = 112,075,719.11
  5. Step 5: Solve for x
    x = 112,075,719.11/11,676.78
  6. Step 6: Final answer
    x = 9,598.17

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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.