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Finding the Fourth Proportional to 10,555.97, 14,566.64 and 5,839.97

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Solution

The fourth proportional to 10,555.97, 14,566.64 and 5,839.97 is: 8,058.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,555.97 : 14,566.64 = 5,839.97 : x
  2. Step 2: Convert to fraction form
    10,555.97/14,566.64 = 5,839.97/x
  3. Step 3: Cross multiply
    10,555.97x = 14,566.64 × 5,839.97
  4. Step 4: Simplify right side
    10,555.97x = 85,068,711.40
  5. Step 5: Solve for x
    x = 85,068,711.40/10,555.97
  6. Step 6: Final answer
    x = 8,058.82

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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.