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Finding the Fourth Proportional to 7,854.49, 11,797.94 and 7,592.05

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Solution

The fourth proportional to 7,854.49, 11,797.94 and 7,592.05 is: 11,403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.49 : 11,797.94 = 7,592.05 : x
  2. Step 2: Convert to fraction form
    7,854.49/11,797.94 = 7,592.05/x
  3. Step 3: Cross multiply
    7,854.49x = 11,797.94 × 7,592.05
  4. Step 4: Simplify right side
    7,854.49x = 89,570,550.38
  5. Step 5: Solve for x
    x = 89,570,550.38/7,854.49
  6. Step 6: Final answer
    x = 11,403.74

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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.