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Finding the Fourth Proportional to 10,593.78, 14,620.14 and 5,877.96

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Solution

The fourth proportional to 10,593.78, 14,620.14 and 5,877.96 is: 8,111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593.78 : 14,620.14 = 5,877.96 : x
  2. Step 2: Convert to fraction form
    10,593.78/14,620.14 = 5,877.96/x
  3. Step 3: Cross multiply
    10,593.78x = 14,620.14 × 5,877.96
  4. Step 4: Simplify right side
    10,593.78x = 85,936,598.11
  5. Step 5: Solve for x
    x = 85,936,598.11/10,593.78
  6. Step 6: Final answer
    x = 8,111.99

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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.