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Finding the Fourth Proportional to 10,300, 14,213.44 and 5,823.48

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Solution

The fourth proportional to 10,300, 14,213.44 and 5,823.48 is: 8,036.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300 : 14,213.44 = 5,823.48 : x
  2. Step 2: Convert to fraction form
    10,300/14,213.44 = 5,823.48/x
  3. Step 3: Cross multiply
    10,300x = 14,213.44 × 5,823.48
  4. Step 4: Simplify right side
    10,300x = 82,771,683.57
  5. Step 5: Solve for x
    x = 82,771,683.57/10,300
  6. Step 6: Final answer
    x = 8,036.09

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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.