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Finding the Fourth Proportional to 13,985.64, 20,978.06 and 6,585.89

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Solution

The fourth proportional to 13,985.64, 20,978.06 and 6,585.89 is: 9,878.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.64 : 20,978.06 = 6,585.89 : x
  2. Step 2: Convert to fraction form
    13,985.64/20,978.06 = 6,585.89/x
  3. Step 3: Cross multiply
    13,985.64x = 20,978.06 × 6,585.89
  4. Step 4: Simplify right side
    13,985.64x = 138,159,057.75
  5. Step 5: Solve for x
    x = 138,159,057.75/13,985.64
  6. Step 6: Final answer
    x = 9,878.64

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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.