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Finding the Fourth Proportional to 9,876.97, 14,815.46 and 4,329.06

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Solution

The fourth proportional to 9,876.97, 14,815.46 and 4,329.06 is: 6,493.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.97 : 14,815.46 = 4,329.06 : x
  2. Step 2: Convert to fraction form
    9,876.97/14,815.46 = 4,329.06/x
  3. Step 3: Cross multiply
    9,876.97x = 14,815.46 × 4,329.06
  4. Step 4: Simplify right side
    9,876.97x = 64,137,015.27
  5. Step 5: Solve for x
    x = 64,137,015.27/9,876.97
  6. Step 6: Final answer
    x = 6,493.59

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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.