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Finding the Fourth Proportional to 11,538.53, 15,923.51 and 6,502.93

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Solution

The fourth proportional to 11,538.53, 15,923.51 and 6,502.93 is: 8,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.53 : 15,923.51 = 6,502.93 : x
  2. Step 2: Convert to fraction form
    11,538.53/15,923.51 = 6,502.93/x
  3. Step 3: Cross multiply
    11,538.53x = 15,923.51 × 6,502.93
  4. Step 4: Simplify right side
    11,538.53x = 103,549,470.88
  5. Step 5: Solve for x
    x = 103,549,470.88/11,538.53
  6. Step 6: Final answer
    x = 8,974.23

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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.