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Finding the Fourth Proportional to 6,993.12, 9,652 and 4,758.72

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Solution

The fourth proportional to 6,993.12, 9,652 and 4,758.72 is: 6,568.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.12 : 9,652 = 4,758.72 : x
  2. Step 2: Convert to fraction form
    6,993.12/9,652 = 4,758.72/x
  3. Step 3: Cross multiply
    6,993.12x = 9,652 × 4,758.72
  4. Step 4: Simplify right side
    6,993.12x = 45,931,165.44
  5. Step 5: Solve for x
    x = 45,931,165.44/6,993.12
  6. Step 6: Final answer
    x = 6,568.05

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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.