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Finding the Fourth Proportional to 15,755.84, 21,742.96 and 8,585.74

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Solution

The fourth proportional to 15,755.84, 21,742.96 and 8,585.74 is: 11,848.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,755.84 : 21,742.96 = 8,585.74 : x
  2. Step 2: Convert to fraction form
    15,755.84/21,742.96 = 8,585.74/x
  3. Step 3: Cross multiply
    15,755.84x = 21,742.96 × 8,585.74
  4. Step 4: Simplify right side
    15,755.84x = 186,679,249.75
  5. Step 5: Solve for x
    x = 186,679,249.75/15,755.84
  6. Step 6: Final answer
    x = 11,848.26

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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.