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Finding the Fourth Proportional to 10,682.58, 14,748.90 and 9,561.58

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Solution

The fourth proportional to 10,682.58, 14,748.90 and 9,561.58 is: 13,201.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.58 : 14,748.90 = 9,561.58 : x
  2. Step 2: Convert to fraction form
    10,682.58/14,748.90 = 9,561.58/x
  3. Step 3: Cross multiply
    10,682.58x = 14,748.90 × 9,561.58
  4. Step 4: Simplify right side
    10,682.58x = 141,022,787.26
  5. Step 5: Solve for x
    x = 141,022,787.26/10,682.58
  6. Step 6: Final answer
    x = 13,201.19

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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.