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Finding the Fourth Proportional to 19,312, 28,972.06 and 6,662.90

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Solution

The fourth proportional to 19,312, 28,972.06 and 6,662.90 is: 9,995.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,312 : 28,972.06 = 6,662.90 : x
  2. Step 2: Convert to fraction form
    19,312/28,972.06 = 6,662.90/x
  3. Step 3: Cross multiply
    19,312x = 28,972.06 × 6,662.90
  4. Step 4: Simplify right side
    19,312x = 193,037,938.57
  5. Step 5: Solve for x
    x = 193,037,938.57/19,312
  6. Step 6: Final answer
    x = 9,995.75

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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.