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Finding the Fourth Proportional to 8,654.98, 12,973.48 and 4,206.06

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Solution

The fourth proportional to 8,654.98, 12,973.48 and 4,206.06 is: 6,304.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654.98 : 12,973.48 = 4,206.06 : x
  2. Step 2: Convert to fraction form
    8,654.98/12,973.48 = 4,206.06/x
  3. Step 3: Cross multiply
    8,654.98x = 12,973.48 × 4,206.06
  4. Step 4: Simplify right side
    8,654.98x = 54,567,235.29
  5. Step 5: Solve for x
    x = 54,567,235.29/8,654.98
  6. Step 6: Final answer
    x = 6,304.72

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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.