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Finding the Fourth Proportional to 8,293.71, 11,443.47 and 6,954.74

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Solution

The fourth proportional to 8,293.71, 11,443.47 and 6,954.74 is: 9,595.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.71 : 11,443.47 = 6,954.74 : x
  2. Step 2: Convert to fraction form
    8,293.71/11,443.47 = 6,954.74/x
  3. Step 3: Cross multiply
    8,293.71x = 11,443.47 × 6,954.74
  4. Step 4: Simplify right side
    8,293.71x = 79,586,358.55
  5. Step 5: Solve for x
    x = 79,586,358.55/8,293.71
  6. Step 6: Final answer
    x = 9,595.99

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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.