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Finding the Fourth Proportional to 11,451.70, 15,806.85 and 6,673.06

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Solution

The fourth proportional to 11,451.70, 15,806.85 and 6,673.06 is: 9,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.70 : 15,806.85 = 6,673.06 : x
  2. Step 2: Convert to fraction form
    11,451.70/15,806.85 = 6,673.06/x
  3. Step 3: Cross multiply
    11,451.70x = 15,806.85 × 6,673.06
  4. Step 4: Simplify right side
    11,451.70x = 105,480,058.46
  5. Step 5: Solve for x
    x = 105,480,058.46/11,451.70
  6. Step 6: Final answer
    x = 9,210.86

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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.