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Finding the Fourth Proportional to 9,984.96, 14,978.88 and 3,060

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Solution

The fourth proportional to 9,984.96, 14,978.88 and 3,060 is: 4,590.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.96 : 14,978.88 = 3,060 : x
  2. Step 2: Convert to fraction form
    9,984.96/14,978.88 = 3,060/x
  3. Step 3: Cross multiply
    9,984.96x = 14,978.88 × 3,060
  4. Step 4: Simplify right side
    9,984.96x = 45,835,372.80
  5. Step 5: Solve for x
    x = 45,835,372.80/9,984.96
  6. Step 6: Final answer
    x = 4,590.44

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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.