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Finding the Fourth Proportional to 7,592.96, 10,478 and 4,235.92

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Solution

The fourth proportional to 7,592.96, 10,478 and 4,235.92 is: 5,845.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592.96 : 10,478 = 4,235.92 : x
  2. Step 2: Convert to fraction form
    7,592.96/10,478 = 4,235.92/x
  3. Step 3: Cross multiply
    7,592.96x = 10,478 × 4,235.92
  4. Step 4: Simplify right side
    7,592.96x = 44,383,969.76
  5. Step 5: Solve for x
    x = 44,383,969.76/7,592.96
  6. Step 6: Final answer
    x = 5,845.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.