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Finding the Fourth Proportional to 10,753.70, 14,807.94 and 9,969.62

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Solution

The fourth proportional to 10,753.70, 14,807.94 and 9,969.62 is: 13,728.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,753.70 : 14,807.94 = 9,969.62 : x
  2. Step 2: Convert to fraction form
    10,753.70/14,807.94 = 9,969.62/x
  3. Step 3: Cross multiply
    10,753.70x = 14,807.94 × 9,969.62
  4. Step 4: Simplify right side
    10,753.70x = 147,629,460.74
  5. Step 5: Solve for x
    x = 147,629,460.74/10,753.70
  6. Step 6: Final answer
    x = 13,728.25

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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.