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Finding the Fourth Proportional to 5,104.67, 7,612.07 and 4,700.75

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Solution

The fourth proportional to 5,104.67, 7,612.07 and 4,700.75 is: 7,009.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.67 : 7,612.07 = 4,700.75 : x
  2. Step 2: Convert to fraction form
    5,104.67/7,612.07 = 4,700.75/x
  3. Step 3: Cross multiply
    5,104.67x = 7,612.07 × 4,700.75
  4. Step 4: Simplify right side
    5,104.67x = 35,782,376.49
  5. Step 5: Solve for x
    x = 35,782,376.49/5,104.67
  6. Step 6: Final answer
    x = 7,009.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.