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Finding the Fourth Proportional to 9,985.87, 14,978.58 and 2,590.30

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Solution

The fourth proportional to 9,985.87, 14,978.58 and 2,590.30 is: 3,885.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.87 : 14,978.58 = 2,590.30 : x
  2. Step 2: Convert to fraction form
    9,985.87/14,978.58 = 2,590.30/x
  3. Step 3: Cross multiply
    9,985.87x = 14,978.58 × 2,590.30
  4. Step 4: Simplify right side
    9,985.87x = 38,799,015.77
  5. Step 5: Solve for x
    x = 38,799,015.77/9,985.87
  6. Step 6: Final answer
    x = 3,885.39

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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.