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Finding the Fourth Proportional to 7,094.52, 9,790.86 and 4,109.40

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Solution

The fourth proportional to 7,094.52, 9,790.86 and 4,109.40 is: 5,671.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.52 : 9,790.86 = 4,109.40 : x
  2. Step 2: Convert to fraction form
    7,094.52/9,790.86 = 4,109.40/x
  3. Step 3: Cross multiply
    7,094.52x = 9,790.86 × 4,109.40
  4. Step 4: Simplify right side
    7,094.52x = 40,234,560.08
  5. Step 5: Solve for x
    x = 40,234,560.08/7,094.52
  6. Step 6: Final answer
    x = 5,671.22

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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.