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Finding the Fourth Proportional to 15,732.88, 21,710.55 and 8,657.94

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Solution

The fourth proportional to 15,732.88, 21,710.55 and 8,657.94 is: 11,947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.88 : 21,710.55 = 8,657.94 : x
  2. Step 2: Convert to fraction form
    15,732.88/21,710.55 = 8,657.94/x
  3. Step 3: Cross multiply
    15,732.88x = 21,710.55 × 8,657.94
  4. Step 4: Simplify right side
    15,732.88x = 187,968,639.27
  5. Step 5: Solve for x
    x = 187,968,639.27/15,732.88
  6. Step 6: Final answer
    x = 11,947.50

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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.