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Finding the Fourth Proportional to 9,994.61, 14,992.18 and 3,420.77

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Solution

The fourth proportional to 9,994.61, 14,992.18 and 3,420.77 is: 5,131.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.61 : 14,992.18 = 3,420.77 : x
  2. Step 2: Convert to fraction form
    9,994.61/14,992.18 = 3,420.77/x
  3. Step 3: Cross multiply
    9,994.61x = 14,992.18 × 3,420.77
  4. Step 4: Simplify right side
    9,994.61x = 51,284,716.07
  5. Step 5: Solve for x
    x = 51,284,716.07/9,994.61
  6. Step 6: Final answer
    x = 5,131.24

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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.