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Finding the Fourth Proportional to 25,967.16, 38,941.92 and 8,432.64

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Solution

The fourth proportional to 25,967.16, 38,941.92 and 8,432.64 is: 12,646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,967.16 : 38,941.92 = 8,432.64 : x
  2. Step 2: Convert to fraction form
    25,967.16/38,941.92 = 8,432.64/x
  3. Step 3: Cross multiply
    25,967.16x = 38,941.92 × 8,432.64
  4. Step 4: Simplify right side
    25,967.16x = 328,383,192.27
  5. Step 5: Solve for x
    x = 328,383,192.27/25,967.16
  6. Step 6: Final answer
    x = 12,646.10

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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.