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Finding the Fourth Proportional to 17,907.84, 26,857.70 and 6,810.58

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Solution

The fourth proportional to 17,907.84, 26,857.70 and 6,810.58 is: 10,214.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,907.84 : 26,857.70 = 6,810.58 : x
  2. Step 2: Convert to fraction form
    17,907.84/26,857.70 = 6,810.58/x
  3. Step 3: Cross multiply
    17,907.84x = 26,857.70 × 6,810.58
  4. Step 4: Simplify right side
    17,907.84x = 182,916,514.47
  5. Step 5: Solve for x
    x = 182,916,514.47/17,907.84
  6. Step 6: Final answer
    x = 10,214.33

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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.