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Finding the Fourth Proportional to 30,597.14, 45,895.71 and 9,835.22

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Solution

The fourth proportional to 30,597.14, 45,895.71 and 9,835.22 is: 14,752.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,597.14 : 45,895.71 = 9,835.22 : x
  2. Step 2: Convert to fraction form
    30,597.14/45,895.71 = 9,835.22/x
  3. Step 3: Cross multiply
    30,597.14x = 45,895.71 × 9,835.22
  4. Step 4: Simplify right side
    30,597.14x = 451,394,404.91
  5. Step 5: Solve for x
    x = 451,394,404.91/30,597.14
  6. Step 6: Final answer
    x = 14,752.83

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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.