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Finding the Fourth Proportional to 9,178.25, 12,666 and 4,986.50

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Solution

The fourth proportional to 9,178.25, 12,666 and 4,986.50 is: 6,881.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.25 : 12,666 = 4,986.50 : x
  2. Step 2: Convert to fraction form
    9,178.25/12,666 = 4,986.50/x
  3. Step 3: Cross multiply
    9,178.25x = 12,666 × 4,986.50
  4. Step 4: Simplify right side
    9,178.25x = 63,159,009
  5. Step 5: Solve for x
    x = 63,159,009/9,178.25
  6. Step 6: Final answer
    x = 6,881.38

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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.