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Finding the Fourth Proportional to 9,985.40, 14,978.10 and 3,059.90

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Solution

The fourth proportional to 9,985.40, 14,978.10 and 3,059.90 is: 4,589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.40 : 14,978.10 = 3,059.90 : x
  2. Step 2: Convert to fraction form
    9,985.40/14,978.10 = 3,059.90/x
  3. Step 3: Cross multiply
    9,985.40x = 14,978.10 × 3,059.90
  4. Step 4: Simplify right side
    9,985.40x = 45,831,488.19
  5. Step 5: Solve for x
    x = 45,831,488.19/9,985.40
  6. Step 6: Final answer
    x = 4,589.85

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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.