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Finding the Fourth Proportional to 7,158.48, 9,878.04 and 4,014

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Solution

The fourth proportional to 7,158.48, 9,878.04 and 4,014 is: 5,538.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.48 : 9,878.04 = 4,014 : x
  2. Step 2: Convert to fraction form
    7,158.48/9,878.04 = 4,014/x
  3. Step 3: Cross multiply
    7,158.48x = 9,878.04 × 4,014
  4. Step 4: Simplify right side
    7,158.48x = 39,650,452.56
  5. Step 5: Solve for x
    x = 39,650,452.56/7,158.48
  6. Step 6: Final answer
    x = 5,538.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.