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Finding the Fourth Proportional to 7,970.10, 10,998.09 and 4,983.90

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Solution

The fourth proportional to 7,970.10, 10,998.09 and 4,983.90 is: 6,877.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.10 : 10,998.09 = 4,983.90 : x
  2. Step 2: Convert to fraction form
    7,970.10/10,998.09 = 4,983.90/x
  3. Step 3: Cross multiply
    7,970.10x = 10,998.09 × 4,983.90
  4. Step 4: Simplify right side
    7,970.10x = 54,813,380.75
  5. Step 5: Solve for x
    x = 54,813,380.75/7,970.10
  6. Step 6: Final answer
    x = 6,877.38

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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.