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Finding the Fourth Proportional to 5,312.73, 7,969.06 and 1,614.96

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Solution

The fourth proportional to 5,312.73, 7,969.06 and 1,614.96 is: 2,422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.73 : 7,969.06 = 1,614.96 : x
  2. Step 2: Convert to fraction form
    5,312.73/7,969.06 = 1,614.96/x
  3. Step 3: Cross multiply
    5,312.73x = 7,969.06 × 1,614.96
  4. Step 4: Simplify right side
    5,312.73x = 12,869,686.73
  5. Step 5: Solve for x
    x = 12,869,686.73/5,312.73
  6. Step 6: Final answer
    x = 2,422.43

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1.5x scale

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.