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Finding the Fourth Proportional to 6,849.88, 9,457.56 and 5,253.76

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Solution

The fourth proportional to 6,849.88, 9,457.56 and 5,253.76 is: 7,253.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.88 : 9,457.56 = 5,253.76 : x
  2. Step 2: Convert to fraction form
    6,849.88/9,457.56 = 5,253.76/x
  3. Step 3: Cross multiply
    6,849.88x = 9,457.56 × 5,253.76
  4. Step 4: Simplify right side
    6,849.88x = 49,687,750.43
  5. Step 5: Solve for x
    x = 49,687,750.43/6,849.88
  6. Step 6: Final answer
    x = 7,253.81

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1.5x scale

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.