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Finding the Fourth Proportional to 10,654,071.37, 14,692,813.37 and 6,981,654.13

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Solution

The fourth proportional to 10,654,071.37, 14,692,813.37 and 6,981,654.13 is: 9,628,257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654,071.37 : 14,692,813.37 = 6,981,654.13 : x
  2. Step 2: Convert to fraction form
    10,654,071.37/14,692,813.37 = 6,981,654.13/x
  3. Step 3: Cross multiply
    10,654,071.37x = 14,692,813.37 × 6,981,654.13
  4. Step 4: Simplify right side
    10,654,071.37x = 102,580,141,037,607.38
  5. Step 5: Solve for x
    x = 102,580,141,037,607.38/10,654,071.37
  6. Step 6: Final answer
    x = 9,628,257.36

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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.