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Finding the Fourth Proportional to 12,623.52, 17,416 and 7,583.80

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Solution

The fourth proportional to 12,623.52, 17,416 and 7,583.80 is: 10,462.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,623.52 : 17,416 = 7,583.80 : x
  2. Step 2: Convert to fraction form
    12,623.52/17,416 = 7,583.80/x
  3. Step 3: Cross multiply
    12,623.52x = 17,416 × 7,583.80
  4. Step 4: Simplify right side
    12,623.52x = 132,079,460.80
  5. Step 5: Solve for x
    x = 132,079,460.80/12,623.52
  6. Step 6: Final answer
    x = 10,462.97

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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.