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Finding the Fourth Proportional to 9,576.72, 13,212.10 and 7,064.88

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Solution

The fourth proportional to 9,576.72, 13,212.10 and 7,064.88 is: 9,746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.72 : 13,212.10 = 7,064.88 : x
  2. Step 2: Convert to fraction form
    9,576.72/13,212.10 = 7,064.88/x
  3. Step 3: Cross multiply
    9,576.72x = 13,212.10 × 7,064.88
  4. Step 4: Simplify right side
    9,576.72x = 93,341,901.05
  5. Step 5: Solve for x
    x = 93,341,901.05/9,576.72
  6. Step 6: Final answer
    x = 9,746.75

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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.