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Finding the Fourth Proportional to 9,807.06, 14,713 and 3,570.46

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Solution

The fourth proportional to 9,807.06, 14,713 and 3,570.46 is: 5,356.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.06 : 14,713 = 3,570.46 : x
  2. Step 2: Convert to fraction form
    9,807.06/14,713 = 3,570.46/x
  3. Step 3: Cross multiply
    9,807.06x = 14,713 × 3,570.46
  4. Step 4: Simplify right side
    9,807.06x = 52,532,177.98
  5. Step 5: Solve for x
    x = 52,532,177.98/9,807.06
  6. Step 6: Final answer
    x = 5,356.57

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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.