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Finding the Fourth Proportional to 8,282.87, 11,430.35 and 4,748.13

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Solution

The fourth proportional to 8,282.87, 11,430.35 and 4,748.13 is: 6,552.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.87 : 11,430.35 = 4,748.13 : x
  2. Step 2: Convert to fraction form
    8,282.87/11,430.35 = 4,748.13/x
  3. Step 3: Cross multiply
    8,282.87x = 11,430.35 × 4,748.13
  4. Step 4: Simplify right side
    8,282.87x = 54,272,764.00
  5. Step 5: Solve for x
    x = 54,272,764.00/8,282.87
  6. Step 6: Final answer
    x = 6,552.41

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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.