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Finding the Fourth Proportional to 17,647.88, 26,482.75 and 10,255.82

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Solution

The fourth proportional to 17,647.88, 26,482.75 and 10,255.82 is: 15,390.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.88 : 26,482.75 = 10,255.82 : x
  2. Step 2: Convert to fraction form
    17,647.88/26,482.75 = 10,255.82/x
  3. Step 3: Cross multiply
    17,647.88x = 26,482.75 × 10,255.82
  4. Step 4: Simplify right side
    17,647.88x = 271,602,159.05
  5. Step 5: Solve for x
    x = 271,602,159.05/17,647.88
  6. Step 6: Final answer
    x = 15,390.08

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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.