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Finding the Fourth Proportional to 30,357.88, 45,536.82 and 9,583

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Solution

The fourth proportional to 30,357.88, 45,536.82 and 9,583 is: 14,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,357.88 : 45,536.82 = 9,583 : x
  2. Step 2: Convert to fraction form
    30,357.88/45,536.82 = 9,583/x
  3. Step 3: Cross multiply
    30,357.88x = 45,536.82 × 9,583
  4. Step 4: Simplify right side
    30,357.88x = 436,379,346.06
  5. Step 5: Solve for x
    x = 436,379,346.06/30,357.88
  6. Step 6: Final answer
    x = 14,374.50

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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.