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Finding the Fourth Proportional to 11,494.04, 15,865.04 and 6,715.13

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Solution

The fourth proportional to 11,494.04, 15,865.04 and 6,715.13 is: 9,268.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.04 : 15,865.04 = 6,715.13 : x
  2. Step 2: Convert to fraction form
    11,494.04/15,865.04 = 6,715.13/x
  3. Step 3: Cross multiply
    11,494.04x = 15,865.04 × 6,715.13
  4. Step 4: Simplify right side
    11,494.04x = 106,535,743.52
  5. Step 5: Solve for x
    x = 106,535,743.52/11,494.04
  6. Step 6: Final answer
    x = 9,268.79

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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.