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Finding the Fourth Proportional to 10,090.92, 13,920.98 and 5,897.32

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Solution

The fourth proportional to 10,090.92, 13,920.98 and 5,897.32 is: 8,135.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090.92 : 13,920.98 = 5,897.32 : x
  2. Step 2: Convert to fraction form
    10,090.92/13,920.98 = 5,897.32/x
  3. Step 3: Cross multiply
    10,090.92x = 13,920.98 × 5,897.32
  4. Step 4: Simplify right side
    10,090.92x = 82,096,473.77
  5. Step 5: Solve for x
    x = 82,096,473.77/10,090.92
  6. Step 6: Final answer
    x = 8,135.68

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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.