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Finding the Fourth Proportional to 6,895.32, 10,274.50 and 6,560.58

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Solution

The fourth proportional to 6,895.32, 10,274.50 and 6,560.58 is: 9,775.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.32 : 10,274.50 = 6,560.58 : x
  2. Step 2: Convert to fraction form
    6,895.32/10,274.50 = 6,560.58/x
  3. Step 3: Cross multiply
    6,895.32x = 10,274.50 × 6,560.58
  4. Step 4: Simplify right side
    6,895.32x = 67,406,662.81
  5. Step 5: Solve for x
    x = 67,406,662.81/6,895.32
  6. Step 6: Final answer
    x = 9,775.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.