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Finding the Fourth Proportional to 9,576.98, 13,216 and 5,328.06

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Solution

The fourth proportional to 9,576.98, 13,216 and 5,328.06 is: 7,352.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.98 : 13,216 = 5,328.06 : x
  2. Step 2: Convert to fraction form
    9,576.98/13,216 = 5,328.06/x
  3. Step 3: Cross multiply
    9,576.98x = 13,216 × 5,328.06
  4. Step 4: Simplify right side
    9,576.98x = 70,415,640.96
  5. Step 5: Solve for x
    x = 70,415,640.96/9,576.98
  6. Step 6: Final answer
    x = 7,352.59

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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.