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Finding the Fourth Proportional to 9,754.74, 13,462.20 and 5,563.26

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Solution

The fourth proportional to 9,754.74, 13,462.20 and 5,563.26 is: 7,677.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.74 : 13,462.20 = 5,563.26 : x
  2. Step 2: Convert to fraction form
    9,754.74/13,462.20 = 5,563.26/x
  3. Step 3: Cross multiply
    9,754.74x = 13,462.20 × 5,563.26
  4. Step 4: Simplify right side
    9,754.74x = 74,893,718.77
  5. Step 5: Solve for x
    x = 74,893,718.77/9,754.74
  6. Step 6: Final answer
    x = 7,677.67

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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.