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Finding the Fourth Proportional to 6,993.72, 9,652.56 and 5,478.24

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Solution

The fourth proportional to 6,993.72, 9,652.56 and 5,478.24 is: 7,560.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.72 : 9,652.56 = 5,478.24 : x
  2. Step 2: Convert to fraction form
    6,993.72/9,652.56 = 5,478.24/x
  3. Step 3: Cross multiply
    6,993.72x = 9,652.56 × 5,478.24
  4. Step 4: Simplify right side
    6,993.72x = 52,879,040.29
  5. Step 5: Solve for x
    x = 52,879,040.29/6,993.72
  6. Step 6: Final answer
    x = 7,560.93

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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.