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Finding the Fourth Proportional to 13,022.55, 19,527.97 and 7,760.04

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Solution

The fourth proportional to 13,022.55, 19,527.97 and 7,760.04 is: 11,636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.55 : 19,527.97 = 7,760.04 : x
  2. Step 2: Convert to fraction form
    13,022.55/19,527.97 = 7,760.04/x
  3. Step 3: Cross multiply
    13,022.55x = 19,527.97 × 7,760.04
  4. Step 4: Simplify right side
    13,022.55x = 151,537,828.32
  5. Step 5: Solve for x
    x = 151,537,828.32/13,022.55
  6. Step 6: Final answer
    x = 11,636.57

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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.