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Finding the Fourth Proportional to 7,600.54, 10,493.50 and 5,828.74

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Solution

The fourth proportional to 7,600.54, 10,493.50 and 5,828.74 is: 8,047.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,600.54 : 10,493.50 = 5,828.74 : x
  2. Step 2: Convert to fraction form
    7,600.54/10,493.50 = 5,828.74/x
  3. Step 3: Cross multiply
    7,600.54x = 10,493.50 × 5,828.74
  4. Step 4: Simplify right side
    7,600.54x = 61,163,883.19
  5. Step 5: Solve for x
    x = 61,163,883.19/7,600.54
  6. Step 6: Final answer
    x = 8,047.31

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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.