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Finding the Fourth Proportional to 10,800.47, 14,893.00 and 6,765.86

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Solution

The fourth proportional to 10,800.47, 14,893.00 and 6,765.86 is: 9,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,800.47 : 14,893.00 = 6,765.86 : x
  2. Step 2: Convert to fraction form
    10,800.47/14,893.00 = 6,765.86/x
  3. Step 3: Cross multiply
    10,800.47x = 14,893.00 × 6,765.86
  4. Step 4: Simplify right side
    10,800.47x = 100,763,973.30
  5. Step 5: Solve for x
    x = 100,763,973.30/10,800.47
  6. Step 6: Final answer
    x = 9,329.59

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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.