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Finding the Fourth Proportional to 15,716.76, 21,689.04 and 8,643.12

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Solution

The fourth proportional to 15,716.76, 21,689.04 and 8,643.12 is: 11,927.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716.76 : 21,689.04 = 8,643.12 : x
  2. Step 2: Convert to fraction form
    15,716.76/21,689.04 = 8,643.12/x
  3. Step 3: Cross multiply
    15,716.76x = 21,689.04 × 8,643.12
  4. Step 4: Simplify right side
    15,716.76x = 187,460,975.40
  5. Step 5: Solve for x
    x = 187,460,975.40/15,716.76
  6. Step 6: Final answer
    x = 11,927.46

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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.