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Finding the Fourth Proportional to 9,967.80, 14,919.30 and 7,051.80

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Solution

The fourth proportional to 9,967.80, 14,919.30 and 7,051.80 is: 10,554.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.80 : 14,919.30 = 7,051.80 : x
  2. Step 2: Convert to fraction form
    9,967.80/14,919.30 = 7,051.80/x
  3. Step 3: Cross multiply
    9,967.80x = 14,919.30 × 7,051.80
  4. Step 4: Simplify right side
    9,967.80x = 105,207,919.74
  5. Step 5: Solve for x
    x = 105,207,919.74/9,967.80
  6. Step 6: Final answer
    x = 10,554.78

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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.