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Finding the Fourth Proportional to 9,253.58, 12,765.83 and 5,894.57

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Solution

The fourth proportional to 9,253.58, 12,765.83 and 5,894.57 is: 8,131.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.58 : 12,765.83 = 5,894.57 : x
  2. Step 2: Convert to fraction form
    9,253.58/12,765.83 = 5,894.57/x
  3. Step 3: Cross multiply
    9,253.58x = 12,765.83 × 5,894.57
  4. Step 4: Simplify right side
    9,253.58x = 75,248,985.24
  5. Step 5: Solve for x
    x = 75,248,985.24/9,253.58
  6. Step 6: Final answer
    x = 8,131.88

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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.