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Finding the Fourth Proportional to 15,716.30, 21,688.90 and 8,642.90

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Solution

The fourth proportional to 15,716.30, 21,688.90 and 8,642.90 is: 11,927.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716.30 : 21,688.90 = 8,642.90 : x
  2. Step 2: Convert to fraction form
    15,716.30/21,688.90 = 8,642.90/x
  3. Step 3: Cross multiply
    15,716.30x = 21,688.90 × 8,642.90
  4. Step 4: Simplify right side
    15,716.30x = 187,455,026.42
  5. Step 5: Solve for x
    x = 187,455,026.42/15,716.30
  6. Step 6: Final answer
    x = 11,927.43

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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.