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Finding the Fourth Proportional to 10,495.01, 14,471.11 and 7,837.94

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Solution

The fourth proportional to 10,495.01, 14,471.11 and 7,837.94 is: 10,807.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.01 : 14,471.11 = 7,837.94 : x
  2. Step 2: Convert to fraction form
    10,495.01/14,471.11 = 7,837.94/x
  3. Step 3: Cross multiply
    10,495.01x = 14,471.11 × 7,837.94
  4. Step 4: Simplify right side
    10,495.01x = 113,423,691.91
  5. Step 5: Solve for x
    x = 113,423,691.91/10,495.01
  6. Step 6: Final answer
    x = 10,807.39

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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.