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Finding the Fourth Proportional to 11,602.80, 17,302.25 and 11,497.50

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Solution

The fourth proportional to 11,602.80, 17,302.25 and 11,497.50 is: 17,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.80 : 17,302.25 = 11,497.50 : x
  2. Step 2: Convert to fraction form
    11,602.80/17,302.25 = 11,497.50/x
  3. Step 3: Cross multiply
    11,602.80x = 17,302.25 × 11,497.50
  4. Step 4: Simplify right side
    11,602.80x = 198,932,648.12
  5. Step 5: Solve for x
    x = 198,932,648.12/11,602.80
  6. Step 6: Final answer
    x = 17,145.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.