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Finding the Fourth Proportional to 9,978.66, 14,968.04 and 2,582.60

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Solution

The fourth proportional to 9,978.66, 14,968.04 and 2,582.60 is: 3,873.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.66 : 14,968.04 = 2,582.60 : x
  2. Step 2: Convert to fraction form
    9,978.66/14,968.04 = 2,582.60/x
  3. Step 3: Cross multiply
    9,978.66x = 14,968.04 × 2,582.60
  4. Step 4: Simplify right side
    9,978.66x = 38,656,372.35
  5. Step 5: Solve for x
    x = 38,656,372.35/9,978.66
  6. Step 6: Final answer
    x = 3,873.90

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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.