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Finding the Fourth Proportional to 26,905.71, 40,349.88 and 9,806.16

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Solution

The fourth proportional to 26,905.71, 40,349.88 and 9,806.16 is: 14,706.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,905.71 : 40,349.88 = 9,806.16 : x
  2. Step 2: Convert to fraction form
    26,905.71/40,349.88 = 9,806.16/x
  3. Step 3: Cross multiply
    26,905.71x = 40,349.88 × 9,806.16
  4. Step 4: Simplify right side
    26,905.71x = 395,677,379.26
  5. Step 5: Solve for x
    x = 395,677,379.26/26,905.71
  6. Step 6: Final answer
    x = 14,706.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.