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Finding the Fourth Proportional to 6,784.29, 9,366.89 and 4,235.93

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Solution

The fourth proportional to 6,784.29, 9,366.89 and 4,235.93 is: 5,848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.29 : 9,366.89 = 4,235.93 : x
  2. Step 2: Convert to fraction form
    6,784.29/9,366.89 = 4,235.93/x
  3. Step 3: Cross multiply
    6,784.29x = 9,366.89 × 4,235.93
  4. Step 4: Simplify right side
    6,784.29x = 39,677,463.25
  5. Step 5: Solve for x
    x = 39,677,463.25/6,784.29
  6. Step 6: Final answer
    x = 5,848.43

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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.