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Finding the Fourth Proportional to 4,748.64, 7,130.26 and 4,233.48

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Solution

The fourth proportional to 4,748.64, 7,130.26 and 4,233.48 is: 6,356.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.64 : 7,130.26 = 4,233.48 : x
  2. Step 2: Convert to fraction form
    4,748.64/7,130.26 = 4,233.48/x
  3. Step 3: Cross multiply
    4,748.64x = 7,130.26 × 4,233.48
  4. Step 4: Simplify right side
    4,748.64x = 30,185,813.10
  5. Step 5: Solve for x
    x = 30,185,813.10/4,748.64
  6. Step 6: Final answer
    x = 6,356.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.