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Finding the Fourth Proportional to 7,062.50, 9,745.92 and 3,875.72

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Solution

The fourth proportional to 7,062.50, 9,745.92 and 3,875.72 is: 5,348.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062.50 : 9,745.92 = 3,875.72 : x
  2. Step 2: Convert to fraction form
    7,062.50/9,745.92 = 3,875.72/x
  3. Step 3: Cross multiply
    7,062.50x = 9,745.92 × 3,875.72
  4. Step 4: Simplify right side
    7,062.50x = 37,772,437.68
  5. Step 5: Solve for x
    x = 37,772,437.68/7,062.50
  6. Step 6: Final answer
    x = 5,348.31

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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.