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Finding the Fourth Proportional to 4,383.40, 6,575.10 and 1,305

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Solution

The fourth proportional to 4,383.40, 6,575.10 and 1,305 is: 1,957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,383.40 : 6,575.10 = 1,305 : x
  2. Step 2: Convert to fraction form
    4,383.40/6,575.10 = 1,305/x
  3. Step 3: Cross multiply
    4,383.40x = 6,575.10 × 1,305
  4. Step 4: Simplify right side
    4,383.40x = 8,580,505.50
  5. Step 5: Solve for x
    x = 8,580,505.50/4,383.40
  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.