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Finding the Fourth Proportional to 9,031.93, 13,540.60 and 8,302.93

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Solution

The fourth proportional to 9,031.93, 13,540.60 and 8,302.93 is: 12,447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.93 : 13,540.60 = 8,302.93 : x
  2. Step 2: Convert to fraction form
    9,031.93/13,540.60 = 8,302.93/x
  3. Step 3: Cross multiply
    9,031.93x = 13,540.60 × 8,302.93
  4. Step 4: Simplify right side
    9,031.93x = 112,426,653.96
  5. Step 5: Solve for x
    x = 112,426,653.96/9,031.93
  6. Step 6: Final answer
    x = 12,447.69

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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.