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Finding the Fourth Proportional to 9,178.48, 13,765.90 and 4,496.48

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Solution

The fourth proportional to 9,178.48, 13,765.90 and 4,496.48 is: 6,743.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.48 : 13,765.90 = 4,496.48 : x
  2. Step 2: Convert to fraction form
    9,178.48/13,765.90 = 4,496.48/x
  3. Step 3: Cross multiply
    9,178.48x = 13,765.90 × 4,496.48
  4. Step 4: Simplify right side
    9,178.48x = 61,898,094.03
  5. Step 5: Solve for x
    x = 61,898,094.03/9,178.48
  6. Step 6: Final answer
    x = 6,743.83

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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.