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Finding the Fourth Proportional to 9,502.68, 14,240.25 and 6,538.08

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Solution

The fourth proportional to 9,502.68, 14,240.25 and 6,538.08 is: 9,797.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.68 : 14,240.25 = 6,538.08 : x
  2. Step 2: Convert to fraction form
    9,502.68/14,240.25 = 6,538.08/x
  3. Step 3: Cross multiply
    9,502.68x = 14,240.25 × 6,538.08
  4. Step 4: Simplify right side
    9,502.68x = 93,103,893.72
  5. Step 5: Solve for x
    x = 93,103,893.72/9,502.68
  6. Step 6: Final answer
    x = 9,797.65

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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.