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Finding the Fourth Proportional to 7,078.92, 9,759.87 and 5,465.40

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Solution

The fourth proportional to 7,078.92, 9,759.87 and 5,465.40 is: 7,535.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.92 : 9,759.87 = 5,465.40 : x
  2. Step 2: Convert to fraction form
    7,078.92/9,759.87 = 5,465.40/x
  3. Step 3: Cross multiply
    7,078.92x = 9,759.87 × 5,465.40
  4. Step 4: Simplify right side
    7,078.92x = 53,341,593.50
  5. Step 5: Solve for x
    x = 53,341,593.50/7,078.92
  6. Step 6: Final answer
    x = 7,535.27

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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.