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Finding the Fourth Proportional to 12,324.30, 17,006.74 and 7,019.08

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Solution

The fourth proportional to 12,324.30, 17,006.74 and 7,019.08 is: 9,685.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324.30 : 17,006.74 = 7,019.08 : x
  2. Step 2: Convert to fraction form
    12,324.30/17,006.74 = 7,019.08/x
  3. Step 3: Cross multiply
    12,324.30x = 17,006.74 × 7,019.08
  4. Step 4: Simplify right side
    12,324.30x = 119,371,668.60
  5. Step 5: Solve for x
    x = 119,371,668.60/12,324.30
  6. Step 6: Final answer
    x = 9,685.88

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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.