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Finding the Fourth Proportional to 7,056, 10,580.16 and 4,591.68

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Solution

The fourth proportional to 7,056, 10,580.16 and 4,591.68 is: 6,885.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056 : 10,580.16 = 4,591.68 : x
  2. Step 2: Convert to fraction form
    7,056/10,580.16 = 4,591.68/x
  3. Step 3: Cross multiply
    7,056x = 10,580.16 × 4,591.68
  4. Step 4: Simplify right side
    7,056x = 48,580,709.07
  5. Step 5: Solve for x
    x = 48,580,709.07/7,056
  6. Step 6: Final answer
    x = 6,885.02

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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.