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Finding the Fourth Proportional to 27,590.91, 41,385.48 and 7,869.47

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Solution

The fourth proportional to 27,590.91, 41,385.48 and 7,869.47 is: 11,803.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,590.91 : 41,385.48 = 7,869.47 : x
  2. Step 2: Convert to fraction form
    27,590.91/41,385.48 = 7,869.47/x
  3. Step 3: Cross multiply
    27,590.91x = 41,385.48 × 7,869.47
  4. Step 4: Simplify right side
    27,590.91x = 325,681,586.37
  5. Step 5: Solve for x
    x = 325,681,586.37/27,590.91
  6. Step 6: Final answer
    x = 11,803.95

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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.