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Finding the Fourth Proportional to 14,019.67, 19,346 and 7,732.05

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Solution

The fourth proportional to 14,019.67, 19,346 and 7,732.05 is: 10,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,019.67 : 19,346 = 7,732.05 : x
  2. Step 2: Convert to fraction form
    14,019.67/19,346 = 7,732.05/x
  3. Step 3: Cross multiply
    14,019.67x = 19,346 × 7,732.05
  4. Step 4: Simplify right side
    14,019.67x = 149,584,239.30
  5. Step 5: Solve for x
    x = 149,584,239.30/14,019.67
  6. Step 6: Final answer
    x = 10,669.60

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1.5x scale

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.