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Finding the Fourth Proportional to 10,807.66, 14,914.57 and 5,839.66

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Solution

The fourth proportional to 10,807.66, 14,914.57 and 5,839.66 is: 8,058.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.66 : 14,914.57 = 5,839.66 : x
  2. Step 2: Convert to fraction form
    10,807.66/14,914.57 = 5,839.66/x
  3. Step 3: Cross multiply
    10,807.66x = 14,914.57 × 5,839.66
  4. Step 4: Simplify right side
    10,807.66x = 87,095,914.08
  5. Step 5: Solve for x
    x = 87,095,914.08/10,807.66
  6. Step 6: Final answer
    x = 8,058.72

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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.