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Finding the Fourth Proportional to 6,634, 9,154.88 and 3,650

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Solution

The fourth proportional to 6,634, 9,154.88 and 3,650 is: 5,036.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634 : 9,154.88 = 3,650 : x
  2. Step 2: Convert to fraction form
    6,634/9,154.88 = 3,650/x
  3. Step 3: Cross multiply
    6,634x = 9,154.88 × 3,650
  4. Step 4: Simplify right side
    6,634x = 33,415,312.00
  5. Step 5: Solve for x
    x = 33,415,312.00/6,634
  6. Step 6: Final answer
    x = 5,036.98

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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.