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Finding the Fourth Proportional to 15,866.32, 21,894 and 8,792.59

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Solution

The fourth proportional to 15,866.32, 21,894 and 8,792.59 is: 12,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,866.32 : 21,894 = 8,792.59 : x
  2. Step 2: Convert to fraction form
    15,866.32/21,894 = 8,792.59/x
  3. Step 3: Cross multiply
    15,866.32x = 21,894 × 8,792.59
  4. Step 4: Simplify right side
    15,866.32x = 192,504,965.46
  5. Step 5: Solve for x
    x = 192,504,965.46/15,866.32
  6. Step 6: Final answer
    x = 12,132.93

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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.