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Finding the Fourth Proportional to 9,461.62, 14,161.47 and 6,962.14

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Solution

The fourth proportional to 9,461.62, 14,161.47 and 6,962.14 is: 10,420.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.62 : 14,161.47 = 6,962.14 : x
  2. Step 2: Convert to fraction form
    9,461.62/14,161.47 = 6,962.14/x
  3. Step 3: Cross multiply
    9,461.62x = 14,161.47 × 6,962.14
  4. Step 4: Simplify right side
    9,461.62x = 98,594,136.75
  5. Step 5: Solve for x
    x = 98,594,136.75/9,461.62
  6. Step 6: Final answer
    x = 10,420.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.