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Finding the Fourth Proportional to 7,710.42, 11,567.08 and 3,093.78

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Solution

The fourth proportional to 7,710.42, 11,567.08 and 3,093.78 is: 4,641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.42 : 11,567.08 = 3,093.78 : x
  2. Step 2: Convert to fraction form
    7,710.42/11,567.08 = 3,093.78/x
  3. Step 3: Cross multiply
    7,710.42x = 11,567.08 × 3,093.78
  4. Step 4: Simplify right side
    7,710.42x = 35,786,000.76
  5. Step 5: Solve for x
    x = 35,786,000.76/7,710.42
  6. Step 6: Final answer
    x = 4,641.25

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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.