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Finding the Fourth Proportional to 9,760.13, 13,468.97 and 5,283.87

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Solution

The fourth proportional to 9,760.13, 13,468.97 and 5,283.87 is: 7,291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.13 : 13,468.97 = 5,283.87 : x
  2. Step 2: Convert to fraction form
    9,760.13/13,468.97 = 5,283.87/x
  3. Step 3: Cross multiply
    9,760.13x = 13,468.97 × 5,283.87
  4. Step 4: Simplify right side
    9,760.13x = 71,168,286.51
  5. Step 5: Solve for x
    x = 71,168,286.51/9,760.13
  6. Step 6: Final answer
    x = 7,291.74

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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.