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Finding the Fourth Proportional to 14,214.56, 21,314 and 6,607.52

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Solution

The fourth proportional to 14,214.56, 21,314 and 6,607.52 is: 9,907.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214.56 : 21,314 = 6,607.52 : x
  2. Step 2: Convert to fraction form
    14,214.56/21,314 = 6,607.52/x
  3. Step 3: Cross multiply
    14,214.56x = 21,314 × 6,607.52
  4. Step 4: Simplify right side
    14,214.56x = 140,832,681.28
  5. Step 5: Solve for x
    x = 140,832,681.28/14,214.56
  6. Step 6: Final answer
    x = 9,907.64

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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.