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Finding the Fourth Proportional to 12,895.80, 17,794.86 and 7,590.30

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Solution

The fourth proportional to 12,895.80, 17,794.86 and 7,590.30 is: 10,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,895.80 : 17,794.86 = 7,590.30 : x
  2. Step 2: Convert to fraction form
    12,895.80/17,794.86 = 7,590.30/x
  3. Step 3: Cross multiply
    12,895.80x = 17,794.86 × 7,590.30
  4. Step 4: Simplify right side
    12,895.80x = 135,068,325.86
  5. Step 5: Solve for x
    x = 135,068,325.86/12,895.80
  6. Step 6: Final answer
    x = 10,473.82

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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.