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Finding the Fourth Proportional to 7,730.68, 11,594.68 and 3,570.34

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Solution

The fourth proportional to 7,730.68, 11,594.68 and 3,570.34 is: 5,354.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.68 : 11,594.68 = 3,570.34 : x
  2. Step 2: Convert to fraction form
    7,730.68/11,594.68 = 3,570.34/x
  3. Step 3: Cross multiply
    7,730.68x = 11,594.68 × 3,570.34
  4. Step 4: Simplify right side
    7,730.68x = 41,396,949.79
  5. Step 5: Solve for x
    x = 41,396,949.79/7,730.68
  6. Step 6: Final answer
    x = 5,354.89

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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.