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Finding the Fourth Proportional to 9,472.83, 14,221.54 and 7,283.09

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Solution

The fourth proportional to 9,472.83, 14,221.54 and 7,283.09 is: 10,934.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.83 : 14,221.54 = 7,283.09 : x
  2. Step 2: Convert to fraction form
    9,472.83/14,221.54 = 7,283.09/x
  3. Step 3: Cross multiply
    9,472.83x = 14,221.54 × 7,283.09
  4. Step 4: Simplify right side
    9,472.83x = 103,576,800.42
  5. Step 5: Solve for x
    x = 103,576,800.42/9,472.83
  6. Step 6: Final answer
    x = 10,934.10

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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.