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Finding the Fourth Proportional to 34,430, 51,653.64 and 9,806

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Solution

The fourth proportional to 34,430, 51,653.64 and 9,806 is: 14,711.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,430 : 51,653.64 = 9,806 : x
  2. Step 2: Convert to fraction form
    34,430/51,653.64 = 9,806/x
  3. Step 3: Cross multiply
    34,430x = 51,653.64 × 9,806
  4. Step 4: Simplify right side
    34,430x = 506,515,593.84
  5. Step 5: Solve for x
    x = 506,515,593.84/34,430
  6. Step 6: Final answer
    x = 14,711.46

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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.