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Finding the Fourth Proportional to 8,296.74, 11,448.54 and 4,711.68

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Solution

The fourth proportional to 8,296.74, 11,448.54 and 4,711.68 is: 6,501.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.74 : 11,448.54 = 4,711.68 : x
  2. Step 2: Convert to fraction form
    8,296.74/11,448.54 = 4,711.68/x
  3. Step 3: Cross multiply
    8,296.74x = 11,448.54 × 4,711.68
  4. Step 4: Simplify right side
    8,296.74x = 53,941,856.95
  5. Step 5: Solve for x
    x = 53,941,856.95/8,296.74
  6. Step 6: Final answer
    x = 6,501.57

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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.