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Finding the Fourth Proportional to 7,114.88, 9,821.98 and 4,994.90

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Solution

The fourth proportional to 7,114.88, 9,821.98 and 4,994.90 is: 6,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.88 : 9,821.98 = 4,994.90 : x
  2. Step 2: Convert to fraction form
    7,114.88/9,821.98 = 4,994.90/x
  3. Step 3: Cross multiply
    7,114.88x = 9,821.98 × 4,994.90
  4. Step 4: Simplify right side
    7,114.88x = 49,059,807.90
  5. Step 5: Solve for x
    x = 49,059,807.90/7,114.88
  6. Step 6: Final answer
    x = 6,895.38

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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.