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Finding the Fourth Proportional to 17,582.62, 24,264.09 and 9,625.59

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Solution

The fourth proportional to 17,582.62, 24,264.09 and 9,625.59 is: 13,283.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,582.62 : 24,264.09 = 9,625.59 : x
  2. Step 2: Convert to fraction form
    17,582.62/24,264.09 = 9,625.59/x
  3. Step 3: Cross multiply
    17,582.62x = 24,264.09 × 9,625.59
  4. Step 4: Simplify right side
    17,582.62x = 233,556,182.06
  5. Step 5: Solve for x
    x = 233,556,182.06/17,582.62
  6. Step 6: Final answer
    x = 13,283.35

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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.