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Finding the Fourth Proportional to 6,342.40, 8,742.02 and 4,767.76

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Solution

The fourth proportional to 6,342.40, 8,742.02 and 4,767.76 is: 6,571.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.40 : 8,742.02 = 4,767.76 : x
  2. Step 2: Convert to fraction form
    6,342.40/8,742.02 = 4,767.76/x
  3. Step 3: Cross multiply
    6,342.40x = 8,742.02 × 4,767.76
  4. Step 4: Simplify right side
    6,342.40x = 41,679,853.28
  5. Step 5: Solve for x
    x = 41,679,853.28/6,342.40
  6. Step 6: Final answer
    x = 6,571.62

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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.