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Finding the Fourth Proportional to 6,595.04, 9,892.48 and 1,978

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Solution

The fourth proportional to 6,595.04, 9,892.48 and 1,978 is: 2,966.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.04 : 9,892.48 = 1,978 : x
  2. Step 2: Convert to fraction form
    6,595.04/9,892.48 = 1,978/x
  3. Step 3: Cross multiply
    6,595.04x = 9,892.48 × 1,978
  4. Step 4: Simplify right side
    6,595.04x = 19,567,325.44
  5. Step 5: Solve for x
    x = 19,567,325.44/6,595.04
  6. Step 6: Final answer
    x = 2,966.98

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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.