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Finding the Fourth Proportional to 4,768.02, 7,152.03 and 1,305

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Solution

The fourth proportional to 4,768.02, 7,152.03 and 1,305 is: 1,957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.02 : 7,152.03 = 1,305 : x
  2. Step 2: Convert to fraction form
    4,768.02/7,152.03 = 1,305/x
  3. Step 3: Cross multiply
    4,768.02x = 7,152.03 × 1,305
  4. Step 4: Simplify right side
    4,768.02x = 9,333,399.15
  5. Step 5: Solve for x
    x = 9,333,399.15/4,768.02
  6. Step 6: Final answer
    x = 1,957.50

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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.