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Finding the Fourth Proportional to 6,854.40, 10,276.74 and 5,553

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Solution

The fourth proportional to 6,854.40, 10,276.74 and 5,553 is: 8,325.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.40 : 10,276.74 = 5,553 : x
  2. Step 2: Convert to fraction form
    6,854.40/10,276.74 = 5,553/x
  3. Step 3: Cross multiply
    6,854.40x = 10,276.74 × 5,553
  4. Step 4: Simplify right side
    6,854.40x = 57,066,737.22
  5. Step 5: Solve for x
    x = 57,066,737.22/6,854.40
  6. Step 6: Final answer
    x = 8,325.56

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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.