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Finding the Fourth Proportional to 9,985.64, 14,978.46 and 3,059.24

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Solution

The fourth proportional to 9,985.64, 14,978.46 and 3,059.24 is: 4,588.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.64 : 14,978.46 = 3,059.24 : x
  2. Step 2: Convert to fraction form
    9,985.64/14,978.46 = 3,059.24/x
  3. Step 3: Cross multiply
    9,985.64x = 14,978.46 × 3,059.24
  4. Step 4: Simplify right side
    9,985.64x = 45,822,703.97
  5. Step 5: Solve for x
    x = 45,822,703.97/9,985.64
  6. Step 6: Final answer
    x = 4,588.86

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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.