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Finding the Fourth Proportional to 12,349.53, 18,502.74 and 10,282.83

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Solution

The fourth proportional to 12,349.53, 18,502.74 and 10,282.83 is: 15,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,349.53 : 18,502.74 = 10,282.83 : x
  2. Step 2: Convert to fraction form
    12,349.53/18,502.74 = 10,282.83/x
  3. Step 3: Cross multiply
    12,349.53x = 18,502.74 × 10,282.83
  4. Step 4: Simplify right side
    12,349.53x = 190,260,529.95
  5. Step 5: Solve for x
    x = 190,260,529.95/12,349.53
  6. Step 6: Final answer
    x = 15,406.30

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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.