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Finding the Fourth Proportional to 7,801.64, 10,770.18 and 6,029.24

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Solution

The fourth proportional to 7,801.64, 10,770.18 and 6,029.24 is: 8,323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.64 : 10,770.18 = 6,029.24 : x
  2. Step 2: Convert to fraction form
    7,801.64/10,770.18 = 6,029.24/x
  3. Step 3: Cross multiply
    7,801.64x = 10,770.18 × 6,029.24
  4. Step 4: Simplify right side
    7,801.64x = 64,936,000.06
  5. Step 5: Solve for x
    x = 64,936,000.06/7,801.64
  6. Step 6: Final answer
    x = 8,323.38

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Half scale
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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.