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Finding the Fourth Proportional to 10,523.58, 15,770.33 and 7,728.32

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Solution

The fourth proportional to 10,523.58, 15,770.33 and 7,728.32 is: 11,581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.58 : 15,770.33 = 7,728.32 : x
  2. Step 2: Convert to fraction form
    10,523.58/15,770.33 = 7,728.32/x
  3. Step 3: Cross multiply
    10,523.58x = 15,770.33 × 7,728.32
  4. Step 4: Simplify right side
    10,523.58x = 121,878,156.75
  5. Step 5: Solve for x
    x = 121,878,156.75/10,523.58
  6. Step 6: Final answer
    x = 11,581.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.