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Finding the Fourth Proportional to 6,675.60, 10,013.40 and 6,420.45

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Solution

The fourth proportional to 6,675.60, 10,013.40 and 6,420.45 is: 9,630.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675.60 : 10,013.40 = 6,420.45 : x
  2. Step 2: Convert to fraction form
    6,675.60/10,013.40 = 6,420.45/x
  3. Step 3: Cross multiply
    6,675.60x = 10,013.40 × 6,420.45
  4. Step 4: Simplify right side
    6,675.60x = 64,290,534.03
  5. Step 5: Solve for x
    x = 64,290,534.03/6,675.60
  6. Step 6: Final answer
    x = 9,630.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.