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Finding the Fourth Proportional to 8,301.84, 11,458.11 and 4,946.61

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Solution

The fourth proportional to 8,301.84, 11,458.11 and 4,946.61 is: 6,827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.84 : 11,458.11 = 4,946.61 : x
  2. Step 2: Convert to fraction form
    8,301.84/11,458.11 = 4,946.61/x
  3. Step 3: Cross multiply
    8,301.84x = 11,458.11 × 4,946.61
  4. Step 4: Simplify right side
    8,301.84x = 56,678,801.51
  5. Step 5: Solve for x
    x = 56,678,801.51/8,301.84
  6. Step 6: Final answer
    x = 6,827.26

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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.