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Finding the Fourth Proportional to 6,965.60, 10,499.60 and 6,564.08

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Solution

The fourth proportional to 6,965.60, 10,499.60 and 6,564.08 is: 9,894.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.60 : 10,499.60 = 6,564.08 : x
  2. Step 2: Convert to fraction form
    6,965.60/10,499.60 = 6,564.08/x
  3. Step 3: Cross multiply
    6,965.60x = 10,499.60 × 6,564.08
  4. Step 4: Simplify right side
    6,965.60x = 68,920,214.37
  5. Step 5: Solve for x
    x = 68,920,214.37/6,965.60
  6. Step 6: Final answer
    x = 9,894.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.