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Finding the Fourth Proportional to 5,088.42, 7,635.87 and 5,046.75

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Solution

The fourth proportional to 5,088.42, 7,635.87 and 5,046.75 is: 7,573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,088.42 : 7,635.87 = 5,046.75 : x
  2. Step 2: Convert to fraction form
    5,088.42/7,635.87 = 5,046.75/x
  3. Step 3: Cross multiply
    5,088.42x = 7,635.87 × 5,046.75
  4. Step 4: Simplify right side
    5,088.42x = 38,536,326.92
  5. Step 5: Solve for x
    x = 38,536,326.92/5,088.42
  6. Step 6: Final answer
    x = 7,573.34

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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.