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Finding the Fourth Proportional to 12,527.84, 17,249.08 and 10,635.50

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Solution

The fourth proportional to 12,527.84, 17,249.08 and 10,635.50 is: 14,643.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.84 : 17,249.08 = 10,635.50 : x
  2. Step 2: Convert to fraction form
    12,527.84/17,249.08 = 10,635.50/x
  3. Step 3: Cross multiply
    12,527.84x = 17,249.08 × 10,635.50
  4. Step 4: Simplify right side
    12,527.84x = 183,452,537.16
  5. Step 5: Solve for x
    x = 183,452,537.16/12,527.84
  6. Step 6: Final answer
    x = 14,643.59

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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.