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Finding the Fourth Proportional to 30,464.68, 45,697.98 and 8,277.97

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Solution

The fourth proportional to 30,464.68, 45,697.98 and 8,277.97 is: 12,417.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,464.68 : 45,697.98 = 8,277.97 : x
  2. Step 2: Convert to fraction form
    30,464.68/45,697.98 = 8,277.97/x
  3. Step 3: Cross multiply
    30,464.68x = 45,697.98 × 8,277.97
  4. Step 4: Simplify right side
    30,464.68x = 378,286,507.50
  5. Step 5: Solve for x
    x = 378,286,507.50/30,464.68
  6. Step 6: Final answer
    x = 12,417.22

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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.