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Finding the Fourth Proportional to 10,676.93, 16,006.29 and 7,547.09

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Solution

The fourth proportional to 10,676.93, 16,006.29 and 7,547.09 is: 11,314.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.93 : 16,006.29 = 7,547.09 : x
  2. Step 2: Convert to fraction form
    10,676.93/16,006.29 = 7,547.09/x
  3. Step 3: Cross multiply
    10,676.93x = 16,006.29 × 7,547.09
  4. Step 4: Simplify right side
    10,676.93x = 120,800,892.90
  5. Step 5: Solve for x
    x = 120,800,892.90/10,676.93
  6. Step 6: Final answer
    x = 11,314.20

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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.