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Finding the Fourth Proportional to 30,299.50, 45,449.66 and 9,523

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Solution

The fourth proportional to 30,299.50, 45,449.66 and 9,523 is: 14,284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,299.50 : 45,449.66 = 9,523 : x
  2. Step 2: Convert to fraction form
    30,299.50/45,449.66 = 9,523/x
  3. Step 3: Cross multiply
    30,299.50x = 45,449.66 × 9,523
  4. Step 4: Simplify right side
    30,299.50x = 432,817,112.18
  5. Step 5: Solve for x
    x = 432,817,112.18/30,299.50
  6. Step 6: Final answer
    x = 14,284.63

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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.