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Finding the Fourth Proportional to 4,747.86, 6,554.34 and 2,980.44

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Solution

The fourth proportional to 4,747.86, 6,554.34 and 2,980.44 is: 4,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.86 : 6,554.34 = 2,980.44 : x
  2. Step 2: Convert to fraction form
    4,747.86/6,554.34 = 2,980.44/x
  3. Step 3: Cross multiply
    4,747.86x = 6,554.34 × 2,980.44
  4. Step 4: Simplify right side
    4,747.86x = 19,534,817.11
  5. Step 5: Solve for x
    x = 19,534,817.11/4,747.86
  6. Step 6: Final answer
    x = 4,114.45

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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.