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Finding the Fourth Proportional to 6,777.48, 9,354.42 and 4,125

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Solution

The fourth proportional to 6,777.48, 9,354.42 and 4,125 is: 5,693.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.48 : 9,354.42 = 4,125 : x
  2. Step 2: Convert to fraction form
    6,777.48/9,354.42 = 4,125/x
  3. Step 3: Cross multiply
    6,777.48x = 9,354.42 × 4,125
  4. Step 4: Simplify right side
    6,777.48x = 38,586,982.50
  5. Step 5: Solve for x
    x = 38,586,982.50/6,777.48
  6. Step 6: Final answer
    x = 5,693.41

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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.