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Finding the Fourth Proportional to 27,188.55, 40,780.85 and 7,465.41

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Solution

The fourth proportional to 27,188.55, 40,780.85 and 7,465.41 is: 11,197.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,188.55 : 40,780.85 = 7,465.41 : x
  2. Step 2: Convert to fraction form
    27,188.55/40,780.85 = 7,465.41/x
  3. Step 3: Cross multiply
    27,188.55x = 40,780.85 × 7,465.41
  4. Step 4: Simplify right side
    27,188.55x = 304,445,728.07
  5. Step 5: Solve for x
    x = 304,445,728.07/27,188.55
  6. Step 6: Final answer
    x = 11,197.57

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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.