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Finding the Fourth Proportional to 15,713.10, 21,683.53 and 8,639.47

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Solution

The fourth proportional to 15,713.10, 21,683.53 and 8,639.47 is: 11,922.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.10 : 21,683.53 = 8,639.47 : x
  2. Step 2: Convert to fraction form
    15,713.10/21,683.53 = 8,639.47/x
  3. Step 3: Cross multiply
    15,713.10x = 21,683.53 × 8,639.47
  4. Step 4: Simplify right side
    15,713.10x = 187,334,206.93
  5. Step 5: Solve for x
    x = 187,334,206.93/15,713.10
  6. Step 6: Final answer
    x = 11,922.17

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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.