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Finding the Fourth Proportional to 17,710.88, 24,441 and 9,753.08

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Solution

The fourth proportional to 17,710.88, 24,441 and 9,753.08 is: 13,459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,710.88 : 24,441 = 9,753.08 : x
  2. Step 2: Convert to fraction form
    17,710.88/24,441 = 9,753.08/x
  3. Step 3: Cross multiply
    17,710.88x = 24,441 × 9,753.08
  4. Step 4: Simplify right side
    17,710.88x = 238,375,028.28
  5. Step 5: Solve for x
    x = 238,375,028.28/17,710.88
  6. Step 6: Final answer
    x = 13,459.24

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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.