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Finding the Fourth Proportional to 5,931.07, 8,911.20 and 4,465.78

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Solution

The fourth proportional to 5,931.07, 8,911.20 and 4,465.78 is: 6,709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.07 : 8,911.20 = 4,465.78 : x
  2. Step 2: Convert to fraction form
    5,931.07/8,911.20 = 4,465.78/x
  3. Step 3: Cross multiply
    5,931.07x = 8,911.20 × 4,465.78
  4. Step 4: Simplify right side
    5,931.07x = 39,795,458.74
  5. Step 5: Solve for x
    x = 39,795,458.74/5,931.07
  6. Step 6: Final answer
    x = 6,709.66

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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.