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Finding the Fourth Proportional to 12,302.39, 16,975.98 and 7,523.52

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Solution

The fourth proportional to 12,302.39, 16,975.98 and 7,523.52 is: 10,381.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.39 : 16,975.98 = 7,523.52 : x
  2. Step 2: Convert to fraction form
    12,302.39/16,975.98 = 7,523.52/x
  3. Step 3: Cross multiply
    12,302.39x = 16,975.98 × 7,523.52
  4. Step 4: Simplify right side
    12,302.39x = 127,719,125.05
  5. Step 5: Solve for x
    x = 127,719,125.05/12,302.39
  6. Step 6: Final answer
    x = 10,381.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.