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Finding the Fourth Proportional to 8,282.63, 11,430.05 and 4,556.63

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Solution

The fourth proportional to 8,282.63, 11,430.05 and 4,556.63 is: 6,288.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.63 : 11,430.05 = 4,556.63 : x
  2. Step 2: Convert to fraction form
    8,282.63/11,430.05 = 4,556.63/x
  3. Step 3: Cross multiply
    8,282.63x = 11,430.05 × 4,556.63
  4. Step 4: Simplify right side
    8,282.63x = 52,082,428.80
  5. Step 5: Solve for x
    x = 52,082,428.80/8,282.63
  6. Step 6: Final answer
    x = 6,288.15

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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.