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Finding the Fourth Proportional to 11,537.84, 15,922.27 and 6,502.12

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Solution

The fourth proportional to 11,537.84, 15,922.27 and 6,502.12 is: 8,972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.84 : 15,922.27 = 6,502.12 : x
  2. Step 2: Convert to fraction form
    11,537.84/15,922.27 = 6,502.12/x
  3. Step 3: Cross multiply
    11,537.84x = 15,922.27 × 6,502.12
  4. Step 4: Simplify right side
    11,537.84x = 103,528,568.10
  5. Step 5: Solve for x
    x = 103,528,568.10/11,537.84
  6. Step 6: Final answer
    x = 8,972.96

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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.