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Finding the Fourth Proportional to 35,935.60, 53,896.80 and 9,634

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Solution

The fourth proportional to 35,935.60, 53,896.80 and 9,634 is: 14,449.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,935.60 : 53,896.80 = 9,634 : x
  2. Step 2: Convert to fraction form
    35,935.60/53,896.80 = 9,634/x
  3. Step 3: Cross multiply
    35,935.60x = 53,896.80 × 9,634
  4. Step 4: Simplify right side
    35,935.60x = 519,241,771.20
  5. Step 5: Solve for x
    x = 519,241,771.20/35,935.60
  6. Step 6: Final answer
    x = 14,449.23

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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.