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Finding the Fourth Proportional to 10,000.46, 13,801.46 and 5,752.90

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Solution

The fourth proportional to 10,000.46, 13,801.46 and 5,752.90 is: 7,939.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.46 : 13,801.46 = 5,752.90 : x
  2. Step 2: Convert to fraction form
    10,000.46/13,801.46 = 5,752.90/x
  3. Step 3: Cross multiply
    10,000.46x = 13,801.46 × 5,752.90
  4. Step 4: Simplify right side
    10,000.46x = 79,398,419.23
  5. Step 5: Solve for x
    x = 79,398,419.23/10,000.46
  6. Step 6: Final answer
    x = 7,939.48

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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.