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Finding the Fourth Proportional to 26,602.63, 39,909.78 and 7,884.14

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Solution

The fourth proportional to 26,602.63, 39,909.78 and 7,884.14 is: 11,827.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,602.63 : 39,909.78 = 7,884.14 : x
  2. Step 2: Convert to fraction form
    26,602.63/39,909.78 = 7,884.14/x
  3. Step 3: Cross multiply
    26,602.63x = 39,909.78 × 7,884.14
  4. Step 4: Simplify right side
    26,602.63x = 314,654,093.34
  5. Step 5: Solve for x
    x = 314,654,093.34/26,602.63
  6. Step 6: Final answer
    x = 11,827.93

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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.