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Finding the Fourth Proportional to 30,493.40, 45,740.10 and 9,716.90

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Solution

The fourth proportional to 30,493.40, 45,740.10 and 9,716.90 is: 14,575.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,493.40 : 45,740.10 = 9,716.90 : x
  2. Step 2: Convert to fraction form
    30,493.40/45,740.10 = 9,716.90/x
  3. Step 3: Cross multiply
    30,493.40x = 45,740.10 × 9,716.90
  4. Step 4: Simplify right side
    30,493.40x = 444,451,977.69
  5. Step 5: Solve for x
    x = 444,451,977.69/30,493.40
  6. Step 6: Final answer
    x = 14,575.35

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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.