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Finding the Fourth Proportional to 4,816.02, 7,224.30 and 1,353

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Solution

The fourth proportional to 4,816.02, 7,224.30 and 1,353 is: 2,029.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,816.02 : 7,224.30 = 1,353 : x
  2. Step 2: Convert to fraction form
    4,816.02/7,224.30 = 1,353/x
  3. Step 3: Cross multiply
    4,816.02x = 7,224.30 × 1,353
  4. Step 4: Simplify right side
    4,816.02x = 9,774,477.90
  5. Step 5: Solve for x
    x = 9,774,477.90/4,816.02
  6. Step 6: Final answer
    x = 2,029.58

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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.