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Finding the Fourth Proportional to 10,762.03, 16,142.61 and 3,743.64

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Solution

The fourth proportional to 10,762.03, 16,142.61 and 3,743.64 is: 5,615.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.03 : 16,142.61 = 3,743.64 : x
  2. Step 2: Convert to fraction form
    10,762.03/16,142.61 = 3,743.64/x
  3. Step 3: Cross multiply
    10,762.03x = 16,142.61 × 3,743.64
  4. Step 4: Simplify right side
    10,762.03x = 60,432,068.08
  5. Step 5: Solve for x
    x = 60,432,068.08/10,762.03
  6. Step 6: Final answer
    x = 5,615.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.