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Finding the Fourth Proportional to 6,377.94, 9,502.20 and 6,064.20

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Solution

The fourth proportional to 6,377.94, 9,502.20 and 6,064.20 is: 9,034.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.94 : 9,502.20 = 6,064.20 : x
  2. Step 2: Convert to fraction form
    6,377.94/9,502.20 = 6,064.20/x
  3. Step 3: Cross multiply
    6,377.94x = 9,502.20 × 6,064.20
  4. Step 4: Simplify right side
    6,377.94x = 57,623,241.24
  5. Step 5: Solve for x
    x = 57,623,241.24/6,377.94
  6. Step 6: Final answer
    x = 9,034.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.