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Finding the Fourth Proportional to 6,500.66, 8,973.18 and 4,142.34

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Solution

The fourth proportional to 6,500.66, 8,973.18 and 4,142.34 is: 5,717.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.66 : 8,973.18 = 4,142.34 : x
  2. Step 2: Convert to fraction form
    6,500.66/8,973.18 = 4,142.34/x
  3. Step 3: Cross multiply
    6,500.66x = 8,973.18 × 4,142.34
  4. Step 4: Simplify right side
    6,500.66x = 37,169,962.44
  5. Step 5: Solve for x
    x = 37,169,962.44/6,500.66
  6. Step 6: Final answer
    x = 5,717.88

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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.