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Finding the Fourth Proportional to 14,839.66, 22,259.48 and 6,071

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Solution

The fourth proportional to 14,839.66, 22,259.48 and 6,071 is: 9,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,839.66 : 22,259.48 = 6,071 : x
  2. Step 2: Convert to fraction form
    14,839.66/22,259.48 = 6,071/x
  3. Step 3: Cross multiply
    14,839.66x = 22,259.48 × 6,071
  4. Step 4: Simplify right side
    14,839.66x = 135,137,303.08
  5. Step 5: Solve for x
    x = 135,137,303.08/14,839.66
  6. Step 6: Final answer
    x = 9,106.50

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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.