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Finding the Fourth Proportional to 10,642.92, 14,683.06 and 6,165.80

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Solution

The fourth proportional to 10,642.92, 14,683.06 and 6,165.80 is: 8,506.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.92 : 14,683.06 = 6,165.80 : x
  2. Step 2: Convert to fraction form
    10,642.92/14,683.06 = 6,165.80/x
  3. Step 3: Cross multiply
    10,642.92x = 14,683.06 × 6,165.80
  4. Step 4: Simplify right side
    10,642.92x = 90,532,824.14
  5. Step 5: Solve for x
    x = 90,532,824.14/10,642.92
  6. Step 6: Final answer
    x = 8,506.39

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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.