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Finding the Fourth Proportional to 7,092.60, 9,784.40 and 5,509.86

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Solution

The fourth proportional to 7,092.60, 9,784.40 and 5,509.86 is: 7,600.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.60 : 9,784.40 = 5,509.86 : x
  2. Step 2: Convert to fraction form
    7,092.60/9,784.40 = 5,509.86/x
  3. Step 3: Cross multiply
    7,092.60x = 9,784.40 × 5,509.86
  4. Step 4: Simplify right side
    7,092.60x = 53,910,674.18
  5. Step 5: Solve for x
    x = 53,910,674.18/7,092.60
  6. Step 6: Final answer
    x = 7,600.97

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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.