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Finding the Fourth Proportional to 11,892.60, 16,411.59 and 6,587.64

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Solution

The fourth proportional to 11,892.60, 16,411.59 and 6,587.64 is: 9,090.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.60 : 16,411.59 = 6,587.64 : x
  2. Step 2: Convert to fraction form
    11,892.60/16,411.59 = 6,587.64/x
  3. Step 3: Cross multiply
    11,892.60x = 16,411.59 × 6,587.64
  4. Step 4: Simplify right side
    11,892.60x = 108,113,646.75
  5. Step 5: Solve for x
    x = 108,113,646.75/11,892.60
  6. Step 6: Final answer
    x = 9,090.83

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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.