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Finding the Fourth Proportional to 11,897.64, 17,854.53 and 6,354.96

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Solution

The fourth proportional to 11,897.64, 17,854.53 and 6,354.96 is: 9,536.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.64 : 17,854.53 = 6,354.96 : x
  2. Step 2: Convert to fraction form
    11,897.64/17,854.53 = 6,354.96/x
  3. Step 3: Cross multiply
    11,897.64x = 17,854.53 × 6,354.96
  4. Step 4: Simplify right side
    11,897.64x = 113,464,792.19
  5. Step 5: Solve for x
    x = 113,464,792.19/11,897.64
  6. Step 6: Final answer
    x = 9,536.75

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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.