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Finding the Fourth Proportional to 9,854.68, 13,604.48 and 7,611.52

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Solution

The fourth proportional to 9,854.68, 13,604.48 and 7,611.52 is: 10,507.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.68 : 13,604.48 = 7,611.52 : x
  2. Step 2: Convert to fraction form
    9,854.68/13,604.48 = 7,611.52/x
  3. Step 3: Cross multiply
    9,854.68x = 13,604.48 × 7,611.52
  4. Step 4: Simplify right side
    9,854.68x = 103,550,771.61
  5. Step 5: Solve for x
    x = 103,550,771.61/9,854.68
  6. Step 6: Final answer
    x = 10,507.78

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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.