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Finding the Fourth Proportional to 27,602.99, 41,403.64 and 7,881.58

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Solution

The fourth proportional to 27,602.99, 41,403.64 and 7,881.58 is: 11,822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,602.99 : 41,403.64 = 7,881.58 : x
  2. Step 2: Convert to fraction form
    27,602.99/41,403.64 = 7,881.58/x
  3. Step 3: Cross multiply
    27,602.99x = 41,403.64 × 7,881.58
  4. Step 4: Simplify right side
    27,602.99x = 326,326,147.78
  5. Step 5: Solve for x
    x = 326,326,147.78/27,602.99
  6. Step 6: Final answer
    x = 11,822.13

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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.