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Finding the Fourth Proportional to 30,463.68, 45,698.34 and 8,277.12

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Solution

The fourth proportional to 30,463.68, 45,698.34 and 8,277.12 is: 12,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,463.68 : 45,698.34 = 8,277.12 : x
  2. Step 2: Convert to fraction form
    30,463.68/45,698.34 = 8,277.12/x
  3. Step 3: Cross multiply
    30,463.68x = 45,698.34 × 8,277.12
  4. Step 4: Simplify right side
    30,463.68x = 378,250,643.98
  5. Step 5: Solve for x
    x = 378,250,643.98/30,463.68
  6. Step 6: Final answer
    x = 12,416.45

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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.