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Finding the Fourth Proportional to 10,689.84, 16,012.89 and 6,294.24

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Solution

The fourth proportional to 10,689.84, 16,012.89 and 6,294.24 is: 9,428.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.84 : 16,012.89 = 6,294.24 : x
  2. Step 2: Convert to fraction form
    10,689.84/16,012.89 = 6,294.24/x
  3. Step 3: Cross multiply
    10,689.84x = 16,012.89 × 6,294.24
  4. Step 4: Simplify right side
    10,689.84x = 100,788,972.75
  5. Step 5: Solve for x
    x = 100,788,972.75/10,689.84
  6. Step 6: Final answer
    x = 9,428.48

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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.