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Finding the Fourth Proportional to 6,462.59, 9,726.68 and 4,827.80

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Solution

The fourth proportional to 6,462.59, 9,726.68 and 4,827.80 is: 7,266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.59 : 9,726.68 = 4,827.80 : x
  2. Step 2: Convert to fraction form
    6,462.59/9,726.68 = 4,827.80/x
  3. Step 3: Cross multiply
    6,462.59x = 9,726.68 × 4,827.80
  4. Step 4: Simplify right side
    6,462.59x = 46,958,502.09
  5. Step 5: Solve for x
    x = 46,958,502.09/6,462.59
  6. Step 6: Final answer
    x = 7,266.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.