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Finding the Fourth Proportional to 9,612.53, 13,265.80 and 5,634.93

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Solution

The fourth proportional to 9,612.53, 13,265.80 and 5,634.93 is: 7,776.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.53 : 13,265.80 = 5,634.93 : x
  2. Step 2: Convert to fraction form
    9,612.53/13,265.80 = 5,634.93/x
  3. Step 3: Cross multiply
    9,612.53x = 13,265.80 × 5,634.93
  4. Step 4: Simplify right side
    9,612.53x = 74,751,793.97
  5. Step 5: Solve for x
    x = 74,751,793.97/9,612.53
  6. Step 6: Final answer
    x = 7,776.49

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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.