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Finding the Fourth Proportional to 9,541.40, 13,167 and 5,562.68

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Solution

The fourth proportional to 9,541.40, 13,167 and 5,562.68 is: 7,676.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541.40 : 13,167 = 5,562.68 : x
  2. Step 2: Convert to fraction form
    9,541.40/13,167 = 5,562.68/x
  3. Step 3: Cross multiply
    9,541.40x = 13,167 × 5,562.68
  4. Step 4: Simplify right side
    9,541.40x = 73,243,807.56
  5. Step 5: Solve for x
    x = 73,243,807.56/9,541.40
  6. Step 6: Final answer
    x = 7,676.42

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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.