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Finding the Fourth Proportional to 10,676.99, 14,733.51 and 6,427.22

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Solution

The fourth proportional to 10,676.99, 14,733.51 and 6,427.22 is: 8,869.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.99 : 14,733.51 = 6,427.22 : x
  2. Step 2: Convert to fraction form
    10,676.99/14,733.51 = 6,427.22/x
  3. Step 3: Cross multiply
    10,676.99x = 14,733.51 × 6,427.22
  4. Step 4: Simplify right side
    10,676.99x = 94,695,510.14
  5. Step 5: Solve for x
    x = 94,695,510.14/10,676.99
  6. Step 6: Final answer
    x = 8,869.12

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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.